Pith Number

pith:P6VELE2U

pith:2016:P6VELE2U5Y2V7XGQF66YNUQWBY

not attested not anchored not stored refs pending

Bit threads and holographic entanglement

Matthew Headrick, Michael Freedman

arxiv:1604.00354 v3 · 2016-04-01 · hep-th · math.DG · math.OC · quant-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6VELE2U5Y2V7XGQF66YNUQWBY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Quantum Bit Threads and the Entropohedron

Toward a worldsheet theory of entanglement entropy

Holographic Tensor Networks as Tessellations of Geometry

Exploring the holographic entropy cone via reinforcement learning

Receipt and verification

First computed	2026-05-18T00:07:33.338894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7faa459354ee355fdcd02fbd86d2160e3ed2c3590e8bdfa3a7463a006a02738d

Aliases

arxiv: 1604.00354 · arxiv_version: 1604.00354v3 · doi: 10.48550/arxiv.1604.00354 · pith_short_12: P6VELE2U5Y2V · pith_short_16: P6VELE2U5Y2V7XGQ · pith_short_8: P6VELE2U

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/P6VELE2U5Y2V7XGQF66YNUQWBY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7faa459354ee355fdcd02fbd86d2160e3ed2c3590e8bdfa3a7463a006a02738d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809450c09f8c542ec8ce8cb7c6312ee2b1e169eef7bc163e978640dd24eceb99",
    "cross_cats_sorted": [
      "math.DG",
      "math.OC",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-04-01T18:40:24Z",
    "title_canon_sha256": "575a39531c96657c206594cc8a449f5a78279195541f09489d42b087ce342de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00354",
    "kind": "arxiv",
    "version": 3
  }
}