Pith Number

pith:Z4AEPPZT

pith:2025:Z4AEPPZTG5GAFFULUYKROHNXK2

not attested not anchored not stored refs pending

Modular Time Evolution and the QNEC

Stefan Hollands

arxiv:2503.21385 v1 · 2025-03-27 · hep-th · math-ph · math.MP · math.OA · 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{Z4AEPPZTG5GAFFULUYKROHNXK2}

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	2026-07-05T10:40:24.602997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0047bf33374c02968ba615171db7568c09c386f73bf0e5088ee5addc6cb655

Aliases

arxiv: 2503.21385 · arxiv_version: 2503.21385v1 · doi: 10.48550/arxiv.2503.21385 · pith_short_12: Z4AEPPZTG5GA · pith_short_16: Z4AEPPZTG5GAFFUL · pith_short_8: Z4AEPPZT

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/Z4AEPPZTG5GAFFULUYKROHNXK2 \
  | 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: cf0047bf33374c02968ba615171db7568c09c386f73bf0e5088ee5addc6cb655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10de747f15ad0de7cc2341b41a8efa37b618388eaf3bda4d3cfbe31b2d73216a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-03-27T11:33:35Z",
    "title_canon_sha256": "30218fa4f95c6bdb25b1eeac8b79ea0138f5e03e4237f89e41799b389aff70fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.21385",
    "kind": "arxiv",
    "version": 1
  }
}