Pith Number

pith:GRJ2P6I2

pith:2011:GRJ2P6I2QDI6UUFXJMQMOGSTCI

not attested not anchored not stored refs pending

Rooted-tree Decompositions with Matroid Constraints and the Infinitesimal Rigidity of Frameworks with Boundaries

Naoki Katoh, Shin-ichi Tanigawa

arxiv:1109.0787 v1 · 2011-09-05 · math.CO · cs.DM · math.MG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRJ2P6I2QDI6UUFXJMQMOGSTCI}

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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	2026-05-18T04:14:06.651581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3453a7f91a80d1ea50b74b20c71a53120a8b44c4804b8c33c6d65c8ff159c661

Aliases

arxiv: 1109.0787 · arxiv_version: 1109.0787v1 · doi: 10.48550/arxiv.1109.0787 · pith_short_12: GRJ2P6I2QDI6 · pith_short_16: GRJ2P6I2QDI6UUFX · pith_short_8: GRJ2P6I2

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/GRJ2P6I2QDI6UUFXJMQMOGSTCI \
  | 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: 3453a7f91a80d1ea50b74b20c71a53120a8b44c4804b8c33c6d65c8ff159c661

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64846956acd65397887c860374834dca37838ceec07bac6021f012445a082ff7",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-05T02:16:17Z",
    "title_canon_sha256": "a7956d6a3207b27ad7206353f01cab5447015cecd1855a65c49b6a0a81974678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0787",
    "kind": "arxiv",
    "version": 1
  }
}