Pith Number

pith:7ZP4EAA7

pith:2019:7ZP4EAA7ILWYI5ZJEPPFUF7F4R

not attested not anchored not stored refs pending

Order plus size of $\tau$-critical graphs

Andras Gyarfas, Lehel Jeno

arxiv:1908.05225 v1 · 2019-08-13 · 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{7ZP4EAA7ILWYI5ZJEPPFUF7F4R}

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	2026-07-04T23:56:37.692223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe5fc2001f42ed84772923de5a17e5e4536c34877f1729557000d0c3530f2149

Aliases

arxiv: 1908.05225 · arxiv_version: 1908.05225v1 · doi: 10.48550/arxiv.1908.05225 · pith_short_12: 7ZP4EAA7ILWY · pith_short_16: 7ZP4EAA7ILWYI5ZJ · pith_short_8: 7ZP4EAA7

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/7ZP4EAA7ILWYI5ZJEPPFUF7F4R \
  | 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: fe5fc2001f42ed84772923de5a17e5e4536c34877f1729557000d0c3530f2149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c36ae305078710e27fbb1b7c379e51eeaa920022d485f4652edfc254cb7a098c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-13T07:53:04Z",
    "title_canon_sha256": "d5f4a0c6a51157813cea67eed6f6e514e41ca8e5ab6866ac78c89dd1c8424e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05225",
    "kind": "arxiv",
    "version": 1
  }
}