Pith Number

pith:TPRN5OPZ

pith:2020:TPRN5OPZJ2FLSSHKWTC3PPYWKB

not attested not anchored not stored refs pending

Recognizing Proper Tree-Graphs

Du\v{s}an Knop, Petr A. Golovach, Steven Chaplick, Tim A. Hartmann

arxiv:2011.11670 v1 · 2020-11-23 · cs.CC · 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{TPRN5OPZJ2FLSSHKWTC3PPYWKB}

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	2026-07-05T01:54:03.774166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be2deb9f94e8ab948eab4c5b7bf165077fa0ffe524af93aebc15c2b85b1f485

Aliases

arxiv: 2011.11670 · arxiv_version: 2011.11670v1 · doi: 10.48550/arxiv.2011.11670 · pith_short_12: TPRN5OPZJ2FL · pith_short_16: TPRN5OPZJ2FLSSHK · pith_short_8: TPRN5OPZ

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/TPRN5OPZJ2FLSSHKWTC3PPYWKB \
  | 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: 9be2deb9f94e8ab948eab4c5b7bf165077fa0ffe524af93aebc15c2b85b1f485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa7009cc612bb589c5aaf1f903a73e22c3a480c8334f96b64563a1a489a84dd",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2020-11-23T19:10:25Z",
    "title_canon_sha256": "35a257eeb007b70690e99168409c68f2c95e04f22d90d6495c8a753b7ff26c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.11670",
    "kind": "arxiv",
    "version": 1
  }
}