Pith Number

pith:JBXJKGM3

pith:2011:JBXJKGM3NXTDYLYISAJJ257OK4

not attested not anchored not stored refs pending

Tree modules and counting polynomials

Ryan Kinser

arxiv:1112.4782 v2 · 2011-12-20 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JBXJKGM3NXTDYLYISAJJ257OK4}

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	2026-05-18T03:12:35.290983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

486e95199b6de63c2f0890129d77ee57187cb15b2e4b87b5588fae5a92bbe47d

Aliases

arxiv: 1112.4782 · arxiv_version: 1112.4782v2 · doi: 10.48550/arxiv.1112.4782 · pith_short_12: JBXJKGM3NXTD · pith_short_16: JBXJKGM3NXTDYLYI · pith_short_8: JBXJKGM3

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/JBXJKGM3NXTDYLYISAJJ257OK4 \
  | 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: 486e95199b6de63c2f0890129d77ee57187cb15b2e4b87b5588fae5a92bbe47d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a81f328bec3f76e87e737101efe2e8bce045b56e4cb075804344196d6526c71d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-20T17:48:16Z",
    "title_canon_sha256": "7c00b5a87cc07e0fadf39d9b1371d356efca4fb2c966ebc04a8776bbd7d4e261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4782",
    "kind": "arxiv",
    "version": 2
  }
}