Pith Number

pith:5TQJNTNF

pith:2015:5TQJNTNFFJCFRTHLLC3HMUGNMB

not attested not anchored not stored refs pending

Excluding hooks and their complements

Anita Liebenau, Dvir Falik, Krzysztof Choromanski, Marcin Pilipczuk, Viresh Patel

arxiv:1508.00634 v2 · 2015-08-04 · 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{5TQJNTNFFJCFRTHLLC3HMUGNMB}

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	2026-05-18T01:35:44.415648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ece096cda52a4458cceb58b67650cd6051d265fc62e99b99128f063e04c3a4d5

Aliases

arxiv: 1508.00634 · arxiv_version: 1508.00634v2 · doi: 10.48550/arxiv.1508.00634 · pith_short_12: 5TQJNTNFFJCF · pith_short_16: 5TQJNTNFFJCFRTHL · pith_short_8: 5TQJNTNF

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/5TQJNTNFFJCFRTHLLC3HMUGNMB \
  | 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: ece096cda52a4458cceb58b67650cd6051d265fc62e99b99128f063e04c3a4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1faf46cdf45358c19965ae702447ae6bba57dc3261c28ee8329dfa8459eb325c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-04T01:26:49Z",
    "title_canon_sha256": "ec74262b2234e63ad7cda08fa103417c63c6dadc45ade90871e639cab8e148fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00634",
    "kind": "arxiv",
    "version": 2
  }
}