Pith Number

pith:EPL27CEV

pith:2021:EPL27CEVIA7TGI7VVPVI66AZTY

not attested not anchored not stored refs pending

Complete characterization of the minimal-ABC trees

Darko Dimitrov, Zhibin Du

arxiv:2110.14712 v2 · 2021-10-27 · 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{EPL27CEVIA7TGI7VVPVI66AZTY}

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	2026-07-05T03:50:02.956579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d7af8895403f3323f5abea8f78199e1b29c3427a784fb648d9e4d1b2288a49

Aliases

arxiv: 2110.14712 · arxiv_version: 2110.14712v2 · doi: 10.48550/arxiv.2110.14712 · pith_short_12: EPL27CEVIA7T · pith_short_16: EPL27CEVIA7TGI7V · pith_short_8: EPL27CEV

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/EPL27CEVIA7TGI7VVPVI66AZTY \
  | 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: 23d7af8895403f3323f5abea8f78199e1b29c3427a784fb648d9e4d1b2288a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d1ca49711afe04f483f71f6c5e2d9eb4519078b8cf9f1deebaa8576cbfe12e0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-27T18:59:39Z",
    "title_canon_sha256": "6b91e760027f1a7e5f709124526b890a15f1a2ef9ed3c7515a34fed7f20a97a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.14712",
    "kind": "arxiv",
    "version": 2
  }
}