Pith Number

pith:R2ZLDVFP

pith:2015:R2ZLDVFPVNE4GJQLPYLXOIPQPI

not attested not anchored not stored refs pending

!-Graphs with Trivial Overlap are Context-Free

Aleks Kissinger (University of Oxford), Vladimir Zamdzhiev (University of Oxford)

arxiv:1501.06059 v3 · 2015-01-24 · cs.LO · cs.FL · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R2ZLDVFPVNE4GJQLPYLXOIPQPI}

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	2026-05-18T01:20:20.906024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8eb2b1d4afab49c3260b7e177721f07a1b71d5f3684d201a83008d86448f1ae4

Aliases

arxiv: 1501.06059 · arxiv_version: 1501.06059v3 · doi: 10.48550/arxiv.1501.06059 · pith_short_12: R2ZLDVFPVNE4 · pith_short_16: R2ZLDVFPVNE4GJQL · pith_short_8: R2ZLDVFP

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/R2ZLDVFPVNE4GJQLPYLXOIPQPI \
  | 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: 8eb2b1d4afab49c3260b7e177721f07a1b71d5f3684d201a83008d86448f1ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d3b163aea4fea5f3881a7188e97a105737ef3bc82839f3e4174059bc1dee1da",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-01-24T16:38:10Z",
    "title_canon_sha256": "77cf7c1b0a425212cd377c1f977756d76e0779bc0ead8b671bf990390f00cb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06059",
    "kind": "arxiv",
    "version": 3
  }
}