Pith Number

pith:UY6FZWKA

pith:2005:UY6FZWKA4LAIP4RDJ6PTQTR727

not attested not anchored not stored refs pending

Refined Analytic Torsion as an Element of the Determinant Line

Maxim Braverman, Thomas Kappeler

arxiv:math/0510532 v4 · 2005-10-25 · math.GT · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UY6FZWKA4LAIP4RDJ6PTQTR727}

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	2026-05-18T02:37:59.695247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a63c5cd940e2c087f2234f9f384e3fd7c2ab8fbaadd36d05e2e91436ad92c2ea

Aliases

arxiv: math/0510532 · arxiv_version: math/0510532v4 · doi: 10.48550/arxiv.math/0510532 · pith_short_12: UY6FZWKA4LAI · pith_short_16: UY6FZWKA4LAIP4RD · pith_short_8: UY6FZWKA

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/UY6FZWKA4LAIP4RDJ6PTQTR727 \
  | 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: a63c5cd940e2c087f2234f9f384e3fd7c2ab8fbaadd36d05e2e91436ad92c2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43feab29de344797330eb3413d0ec7563e654a7c314bcedda00a831e92a40b0c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-10-25T16:59:26Z",
    "title_canon_sha256": "9f6f3695cded15fbebbee1242db52c0ae48bf53e876dfd6eab878afa4f6c243a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510532",
    "kind": "arxiv",
    "version": 4
  }
}