Pith Number

pith:TZB7W23T

pith:2012:TZB7W23TUBMA2MGCNX73K3WWIW

not attested not anchored not stored refs pending

Low-dimensional surgery and the Yamabe invariant

Bernd Ammann, Emmanuel Humbert, Mattias Dahl

arxiv:1204.1197 v3 · 2012-04-05 · math.GT · 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{TZB7W23TUBMA2MGCNX73K3WWIW}

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	2026-05-18T02:28:41.002353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e43fb6b73a0580d30c26dffb56ed6459a0a3e72dd4103c504f08dba2037e6c9

Aliases

arxiv: 1204.1197 · arxiv_version: 1204.1197v3 · doi: 10.48550/arxiv.1204.1197 · pith_short_12: TZB7W23TUBMA · pith_short_16: TZB7W23TUBMA2MGC · pith_short_8: TZB7W23T

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/TZB7W23TUBMA2MGCNX73K3WWIW \
  | 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: 9e43fb6b73a0580d30c26dffb56ed6459a0a3e72dd4103c504f08dba2037e6c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "158863e41b0579cf6627e352ab5cce7fbdfcc711d85fa644683ed629f092b526",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-04-05T12:27:14Z",
    "title_canon_sha256": "61b1619042a78037cbde1ec6a36abdd8df8b82d2c65083f92695384480be54e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1197",
    "kind": "arxiv",
    "version": 3
  }
}