Pith Number

pith:XTX57UOR

pith:2013:XTX57UORYGLNT3K362Q6NS33W5

not attested not anchored not stored refs pending

Volterra calculus, local equivariant family index theorem and equivariant eta forms

Yong Wang

arxiv:1304.7354 v3 · 2013-04-27 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTX57UORYGLNT3K362Q6NS33W5}

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	2026-05-18T02:17:53.103973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcefdfd1d1c196d9ed5bf6a1e6cb7bb7526d3d6e7c7565bee756d1c00d6306f1

Aliases

arxiv: 1304.7354 · arxiv_version: 1304.7354v3 · doi: 10.48550/arxiv.1304.7354 · pith_short_12: XTX57UORYGLN · pith_short_16: XTX57UORYGLNT3K3 · pith_short_8: XTX57UOR

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/XTX57UORYGLNT3K362Q6NS33W5 \
  | 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: bcefdfd1d1c196d9ed5bf6a1e6cb7bb7526d3d6e7c7565bee756d1c00d6306f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4625ecd0a3bb4771a30ea1578a00eb943ae07445abdcd0f7701991c6c856229",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-27T10:20:24Z",
    "title_canon_sha256": "a0d435aa54e410bc0c47872503bec38dd529812915248829ebb3cd838130fb38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7354",
    "kind": "arxiv",
    "version": 3
  }
}