Pith Number

pith:2S4NCRGQ

pith:2025:2S4NCRGQUHJ53TVCYMBZLHVQGX

not attested not anchored not stored refs pending

Recent advances in arrow relations and traces of sets

Jie Ma, Mingyuan Rong, Mingze Li

arxiv:2507.23375 v1 · 2025-07-31 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2S4NCRGQUHJ53TVCYMBZLHVQGX}

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.

Cited by

1 paper in Pith

Forbidding matching as trace in uniform hypergraphs

Receipt and verification

First computed	2026-07-05T11:46:11.052819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b8d144d0a1d3ddcea2c303959eb035db02a26e6e9b9522859dc95babe0e5a1

Aliases

arxiv: 2507.23375 · arxiv_version: 2507.23375v1 · doi: 10.48550/arxiv.2507.23375 · pith_short_12: 2S4NCRGQUHJ5 · pith_short_16: 2S4NCRGQUHJ53TVC · pith_short_8: 2S4NCRGQ

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/2S4NCRGQUHJ53TVCYMBZLHVQGX \
  | 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: d4b8d144d0a1d3ddcea2c303959eb035db02a26e6e9b9522859dc95babe0e5a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9091044e888d007ac44703964bd55952afed43b1b4db46d7ac8ed5a11d341e5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-31T09:43:50Z",
    "title_canon_sha256": "2427f233ee8111cd09bf103ee01a1776db3f55c69587fb8761bd84fe47aa81b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23375",
    "kind": "arxiv",
    "version": 1
  }
}