Pith Number

pith:YTCRCK7Y

pith:2025:YTCRCK7YYFWBCQBTVFQD53AGAJ

not attested not anchored not stored refs pending

Typical $T$-free graphs

Bruce Reed, Yelena Yuditsky

arxiv:2506.01067 v1 · 2025-06-01 · 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{YTCRCK7YYFWBCQBTVFQD53AGAJ}

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	2026-07-05T11:13:45.394688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c5112bf8c16c114033a9603eec060266691b1c3b793490396f268e9cb67bd0

Aliases

arxiv: 2506.01067 · arxiv_version: 2506.01067v1 · doi: 10.48550/arxiv.2506.01067 · pith_short_12: YTCRCK7YYFWB · pith_short_16: YTCRCK7YYFWBCQBT · pith_short_8: YTCRCK7Y

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/YTCRCK7YYFWBCQBTVFQD53AGAJ \
  | 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: c4c5112bf8c16c114033a9603eec060266691b1c3b793490396f268e9cb67bd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e65536e1dd1ad2c7146b3cc777748286d015cf24dc95445c1d1d4e41943c12",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-01T16:12:34Z",
    "title_canon_sha256": "d59e80a7bdf0043545ca2e87207e1e12e3c59cbdac833adf6cd33b3b3c254e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01067",
    "kind": "arxiv",
    "version": 1
  }
}