Pith Number

pith:ULM73A6J

pith:2015:ULM73A6J4VMUTJTBWTVEMKQGO4

not attested not anchored not stored refs pending

Virtual Hodge polynomials of the moduli spaces of representations of degree 2 for free monoids

Kazunori Nakamoto, Takeshi Torii

arxiv:1501.02933 v2 · 2015-01-13 · math.AG · math.AT · 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{ULM73A6J4VMUTJTBWTVEMKQGO4}

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	2026-05-18T01:21:45.110784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d9fd83c9e55949a661b4ea462a067725ba11910e7b1b59bbd88fd066c1f20f

Aliases

arxiv: 1501.02933 · arxiv_version: 1501.02933v2 · doi: 10.48550/arxiv.1501.02933 · pith_short_12: ULM73A6J4VMU · pith_short_16: ULM73A6J4VMUTJTB · pith_short_8: ULM73A6J

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/ULM73A6J4VMUTJTBWTVEMKQGO4 \
  | 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: a2d9fd83c9e55949a661b4ea462a067725ba11910e7b1b59bbd88fd066c1f20f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e24e53a4007cfb8aae3de5f664910eb25abf52751d9d542998c3c48019154566",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-13T09:48:45Z",
    "title_canon_sha256": "80fd6bde6efa8a9965728db3bea5484308e0e8d6ed2c2decc851570d76efdd22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02933",
    "kind": "arxiv",
    "version": 2
  }
}