Pith Number

pith:JW2QCXDE

pith:2011:JW2QCXDEYXBFWR44LFWBALVOQL

not attested not anchored not stored refs pending

Analytic Torsion on Manifolds with Edges

Boris Vertman, Rafe Mazzeo

arxiv:1103.0448 v2 · 2011-03-02 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JW2QCXDEYXBFWR44LFWBALVOQL}

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	2026-05-18T02:28:21.385897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db5015c64c5c25b479c596c102eae82d17677fe58e3e84503ca5cb285595306

Aliases

arxiv: 1103.0448 · arxiv_version: 1103.0448v2 · doi: 10.48550/arxiv.1103.0448 · pith_short_12: JW2QCXDEYXBF · pith_short_16: JW2QCXDEYXBFWR44 · pith_short_8: JW2QCXDE

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/JW2QCXDEYXBFWR44LFWBALVOQL \
  | 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: 4db5015c64c5c25b479c596c102eae82d17677fe58e3e84503ca5cb285595306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f81a1e1a35cc1cdfe6bbafefb3c6141a3fa9d0c2c3caaca9e82b5415e53d3cb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-03-02T14:57:17Z",
    "title_canon_sha256": "4fd470b865d2f08a36421d381f8bf1c9f221231cd395146cd73ae8c58724a8a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0448",
    "kind": "arxiv",
    "version": 2
  }
}