Pith Number

pith:GTACAI7R

pith:2017:GTACAI7RMXMCV77PZWXMGLUJKA

not attested not anchored not stored refs pending

Critical and flow-critical snarks coincide

Edita M\'a\v{c}ajov\'a, Martin \v{S}koviera

arxiv:1709.08111 v1 · 2017-09-23 · 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{GTACAI7RMXMCV77PZWXMGLUJKA}

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	2026-05-18T00:34:27.962379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34c02023f165d82affefcdaec32e895006aa5f434bd94be87c756baf1135372e

Aliases

arxiv: 1709.08111 · arxiv_version: 1709.08111v1 · doi: 10.48550/arxiv.1709.08111 · pith_short_12: GTACAI7RMXMC · pith_short_16: GTACAI7RMXMCV77P · pith_short_8: GTACAI7R

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/GTACAI7RMXMCV77PZWXMGLUJKA \
  | 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: 34c02023f165d82affefcdaec32e895006aa5f434bd94be87c756baf1135372e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "985014a0ee79c3782c673aa19e6ed4ca0a34ec0f060f7cfd45b1db3404dd985d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-23T20:04:29Z",
    "title_canon_sha256": "ce59a0b929b78b9bf65a57ed66651dee14401dc41c221bdffa5ece0b1c2422b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08111",
    "kind": "arxiv",
    "version": 1
  }
}