Pith Number

pith:V7G3RJ2S

pith:2010:V7G3RJ2SBFWYNTBYYPLLXCAY6W

not attested not anchored not stored refs pending

The Odd Dimensional Analogue of a Theorem of Getzler and Wu

Zhizhang Xie

arxiv:1011.0721 v3 · 2010-11-02 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7G3RJ2SBFWYNTBYYPLLXCAY6W}

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	2026-05-18T04:22:31.864728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afcdb8a752096d86cc38c3d6bb8818f58454112ab3da80cc5b286573c647cbaf

Aliases

arxiv: 1011.0721 · arxiv_version: 1011.0721v3 · doi: 10.48550/arxiv.1011.0721 · pith_short_12: V7G3RJ2SBFWY · pith_short_16: V7G3RJ2SBFWYNTBY · pith_short_8: V7G3RJ2S

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/V7G3RJ2SBFWYNTBYYPLLXCAY6W \
  | 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: afcdb8a752096d86cc38c3d6bb8818f58454112ab3da80cc5b286573c647cbaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d3443d0162aa8e194c50c7ef83545142e9699ac28c12e1f5a15cec8f61dde81",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-11-02T19:56:11Z",
    "title_canon_sha256": "7b0add506e5a2317177a660f42224702eba0ae12cb9846b5be9975b526002430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0721",
    "kind": "arxiv",
    "version": 3
  }
}