Pith Number

pith:4IQ5OZLP

pith:2023:4IQ5OZLPHR2P2ABRTMJMXMTQVA

not attested not anchored not stored refs pending

The massive modular Hamiltonian for a double cone

Daniela Cadamuro

arxiv:2312.08525 v1 · 2023-12-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IQ5OZLPHR2P2ABRTMJMXMTQVA}

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	2026-07-05T07:24:05.599977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e221d7656f3c74fd00319b12cbb270a8181b2af776eced2177dc0b8ccfc78dbb

Aliases

arxiv: 2312.08525 · arxiv_version: 2312.08525v1 · doi: 10.48550/arxiv.2312.08525 · pith_short_12: 4IQ5OZLPHR2P · pith_short_16: 4IQ5OZLPHR2P2ABR · pith_short_8: 4IQ5OZLP

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/4IQ5OZLPHR2P2ABRTMJMXMTQVA \
  | 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: e221d7656f3c74fd00319b12cbb270a8181b2af776eced2177dc0b8ccfc78dbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71091da559d02114beb224755961e59c2e21fbd9219f09809b78ad208ba750e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-12-13T21:25:01Z",
    "title_canon_sha256": "13f2fb3fa90c4a52fd822ec8f76a73f5d41707c935b3d331091ec7e591695654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.08525",
    "kind": "arxiv",
    "version": 1
  }
}