Pith Number

pith:E66N2ADX

pith:2025:E66N2ADXHA3WTSEVGOSYSVXZGD

not attested not anchored not stored refs pending

Approximate Itai-Zehavi conjecture for random graphs

Adva Mond, Julien Portier, Lawrence Hollom, Lyuben Lichev, Yiting Wang

arxiv:2506.23970 v1 · 2025-06-30 · 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{E66N2ADXHA3WTSEVGOSYSVXZGD}

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	2026-07-05T11:29:30.945217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27bcdd0077383769c89533a58956f930fb5b02e9ccacf87146eec286f2d66634

Aliases

arxiv: 2506.23970 · arxiv_version: 2506.23970v1 · doi: 10.48550/arxiv.2506.23970 · pith_short_12: E66N2ADXHA3W · pith_short_16: E66N2ADXHA3WTSEV · pith_short_8: E66N2ADX

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/E66N2ADXHA3WTSEVGOSYSVXZGD \
  | 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: 27bcdd0077383769c89533a58956f930fb5b02e9ccacf87146eec286f2d66634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca548c0ccc8c369ebbd65c2df174a0b630bc30d7bb58bd1720ce501cffb7ffd8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-30T15:37:37Z",
    "title_canon_sha256": "7fedbcbf8c5af3941de69f601ff4f3854bb84bd49cceb610f0d2e66c067f053f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23970",
    "kind": "arxiv",
    "version": 1
  }
}