Pith Number

pith:AXDTYEH2

pith:2014:AXDTYEH25AE7F4E5RI74XOV5EW

not attested not anchored not stored refs pending

Analytic torsion and R-torsion of Witt representations on manifolds with cusps

David Sher, Fr\'ed\'eric Rochon, Pierre Albin

arxiv:1411.1105 v3 · 2014-11-04 · math.DG · math.GT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXDTYEH25AE7F4E5RI74XOV5EW}

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	2026-05-18T00:10:32.560722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05c73c10fae809f2f09d8a3fcbbabd25aa3beb77eb3d26c366ee121ccd93eb20

Aliases

arxiv: 1411.1105 · arxiv_version: 1411.1105v3 · doi: 10.48550/arxiv.1411.1105 · pith_short_12: AXDTYEH25AE7 · pith_short_16: AXDTYEH25AE7F4E5 · pith_short_8: AXDTYEH2

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/AXDTYEH25AE7F4E5RI74XOV5EW \
  | 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: 05c73c10fae809f2f09d8a3fcbbabd25aa3beb77eb3d26c366ee121ccd93eb20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d501c8ae93ce3977bc7cdd1717f61f2dd5a44a6f5c249533d86f075ed3594f0f",
    "cross_cats_sorted": [
      "math.GT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-04T22:56:29Z",
    "title_canon_sha256": "b0b9ee7319a14f36ae963e42820f1804d8727a8abe68d42e9401c35166d27343"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1105",
    "kind": "arxiv",
    "version": 3
  }
}