Pith Number

pith:TZF4HLC2

pith:2021:TZF4HLC23SAMIFTMV2PEZYWCQZ

not attested not anchored not stored refs pending

From Modular Decomposition Trees to Rooted Median Graphs

Carmen Bruckmann, Marc Hellmuth, Peter F. Stadler

arxiv:2103.06683 v1 · 2021-03-11 · math.CO · 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{TZF4HLC23SAMIFTMV2PEZYWCQZ}

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	2026-07-05T02:22:18.363266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e4bc3ac5adc80c4166cae9e4ce2c2866ba73e5250cc819712b574ebd0c206f2

Aliases

arxiv: 2103.06683 · arxiv_version: 2103.06683v1 · doi: 10.48550/arxiv.2103.06683 · pith_short_12: TZF4HLC23SAM · pith_short_16: TZF4HLC23SAMIFTM · pith_short_8: TZF4HLC2

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/TZF4HLC23SAMIFTMV2PEZYWCQZ \
  | 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: 9e4bc3ac5adc80c4166cae9e4ce2c2866ba73e5250cc819712b574ebd0c206f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aca8d3f28be393e9ebee8a396fa9476d607ff03dca8350496b0ab24b715bc1bf",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-03-11T14:15:24Z",
    "title_canon_sha256": "98e868999b220581497d089e57ac7ecd13e44844ca2bac96fc000b80a729f59c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.06683",
    "kind": "arxiv",
    "version": 1
  }
}