Pith Number

pith:4CS2DFXP

pith:2011:4CS2DFXPHHHUZ65MPQ4SJ235V6

not attested not anchored not stored refs pending

From spanning forests to edge subsets

Martin Trinks

arxiv:1109.3282 v1 · 2011-09-15 · 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{4CS2DFXPHHHUZ65MPQ4SJ235V6}

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	2026-05-18T03:04:14.113753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a5a196ef39cf4cfbac7c3924eb7dafb205a8c20c20b6b863b558dc3f127442

Aliases

arxiv: 1109.3282 · arxiv_version: 1109.3282v1 · doi: 10.48550/arxiv.1109.3282 · pith_short_12: 4CS2DFXPHHHU · pith_short_16: 4CS2DFXPHHHUZ65M · pith_short_8: 4CS2DFXP

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/4CS2DFXPHHHUZ65MPQ4SJ235V6 \
  | 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: e0a5a196ef39cf4cfbac7c3924eb7dafb205a8c20c20b6b863b558dc3f127442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da0ab204e962565ad352934a11bc65825cff589bdeb4368eff9a8ddf6ba27fac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-15T07:57:23Z",
    "title_canon_sha256": "6cb0124f342350f19157c6755c3ffbd67ce01ccdbdee060802aeb263cf1a90f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3282",
    "kind": "arxiv",
    "version": 1
  }
}