Pith Number

pith:4VFCZCYN

pith:2021:4VFCZCYNMEGFO2LIKAHOJ232HB

not attested not anchored not stored refs pending

Universality in long-distance geometry and quantum complexity

Adam R. Brown, Henry W. Lin, Leonard Susskind, Michael H. Freedman

arxiv:2111.12700 v2 · 2021-11-24 · hep-th · math.DG · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VFCZCYNMEGFO2LIKAHOJ232HB}

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

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.

Receipt and verification

First computed	2026-07-05T07:14:49.274041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54a2c8b0d610c576968500ee4eb7a385d7b91bfb9e6affe9761294e119feadd

Aliases

arxiv: 2111.12700 · arxiv_version: 2111.12700v2 · doi: 10.48550/arxiv.2111.12700 · pith_short_12: 4VFCZCYNMEGF · pith_short_16: 4VFCZCYNMEGFO2LI · pith_short_8: 4VFCZCYN

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/4VFCZCYNMEGFO2LIKAHOJ232HB \
  | 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: e54a2c8b0d610c576968500ee4eb7a385d7b91bfb9e6affe9761294e119feadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5aaf5b300a1398cb57f5068d3fd8b802ba3b425a9820e451dfdd174fd34ceab",
    "cross_cats_sorted": [
      "math.DG",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-24T18:52:44Z",
    "title_canon_sha256": "c74cba44b2c9bd254cf329ab46a25e68b145010c818188747407cb6395de7c9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.12700",
    "kind": "arxiv",
    "version": 2
  }
}