Pith Number

pith:ENJPRWNO

pith:2015:ENJPRWNOENZVD7UJ4KFK47W3IN

not attested not anchored not stored refs pending

End-vertices of LBFS of (AT-free) bigraphs

Jan Gorzny, Jing Huang

arxiv:1509.01307 v1 · 2015-09-03 · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENJPRWNOENZVD7UJ4KFK47W3IN}

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	2026-05-18T01:33:58.012021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2352f8d9ae237351fe89e28aae7edb434610b04e5e139dd9b35af3c8f1c7278f

Aliases

arxiv: 1509.01307 · arxiv_version: 1509.01307v1 · doi: 10.48550/arxiv.1509.01307 · pith_short_12: ENJPRWNOENZV · pith_short_16: ENJPRWNOENZVD7UJ · pith_short_8: ENJPRWNO

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/ENJPRWNOENZVD7UJ4KFK47W3IN \
  | 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: 2352f8d9ae237351fe89e28aae7edb434610b04e5e139dd9b35af3c8f1c7278f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a12d9dc9bed71fc5625205ad41f1ae5d5e604b1df00436b07536003393399587",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-09-03T23:16:17Z",
    "title_canon_sha256": "033bb101892214adc0faf625d0a4a06842446c3b4f6b1cd428d9e332bd8d0c07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01307",
    "kind": "arxiv",
    "version": 1
  }
}