Pith Number

pith:VMH4G5TH

pith:2025:VMH4G5THNEJWVNSAUV3GM3WYGF

not attested not anchored not stored refs pending

Optional Intervals Event and Two n-ary Finitary Operations: An Algebraic Framework for Unifying Parallel-Serial Execution and Axiomatizing Simultaneity from an Epistemological Perspective

Bo.Yin, Lei.Yu, Yanlei.Gong, Yue.Cao, Zhongyuan.Li

arxiv:2504.09471 v7 · 2025-04-13 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMH4G5THNEJWVNSAUV3GM3WYGF}

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	2026-05-20T01:06:04.316803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab0fc3766769136ab640a576666ed83143d7886737078e3b4443c34f938acb9f

Aliases

arxiv: 2504.09471 · arxiv_version: 2504.09471v7 · doi: 10.48550/arxiv.2504.09471 · pith_short_12: VMH4G5THNEJW · pith_short_16: VMH4G5THNEJWVNSA · pith_short_8: VMH4G5TH

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/VMH4G5THNEJWVNSAUV3GM3WYGF \
  | 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: ab0fc3766769136ab640a576666ed83143d7886737078e3b4443c34f938acb9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffed713d8e5f2125313ef7e86fd6d51c67227fcf377775c00cfce45ebac97502",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-04-13T08:03:20Z",
    "title_canon_sha256": "a3982c5ceef3d8e75c69a2e41a15ee04f308adec251bfd158011b564a4953e2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.09471",
    "kind": "arxiv",
    "version": 7
  }
}