Pith Number

pith:GB337DI5

pith:2012:GB337DI5NV67XG3BRNRIBQDEPZ

not attested not anchored not stored refs pending

Codimension 2 embeddings, algebraic surgery and Seifert forms

Andr\'as N\'emethi, Andrew Ranicki, Maciej Borodzik

arxiv:1211.5964 v2 · 2012-11-26 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GB337DI5NV67XG3BRNRIBQDEPZ}

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	2026-05-18T00:15:38.401704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3077bf8d1d6d7dfb9b618b6280c0647e7c6ce99b3ec102666dc3558490a27b74

Aliases

arxiv: 1211.5964 · arxiv_version: 1211.5964v2 · doi: 10.48550/arxiv.1211.5964 · pith_short_12: GB337DI5NV67 · pith_short_16: GB337DI5NV67XG3B · pith_short_8: GB337DI5

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/GB337DI5NV67XG3BRNRIBQDEPZ \
  | 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: 3077bf8d1d6d7dfb9b618b6280c0647e7c6ce99b3ec102666dc3558490a27b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cc895ab3e46e6f2cfa49a65ac26a7d8a6456a15dad466715bcee4c1243a5e9a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-11-26T14:16:48Z",
    "title_canon_sha256": "a31792075ec37b3582bfe7e88dec4ecc7a5d57b799790c25bf8fb659c2764ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5964",
    "kind": "arxiv",
    "version": 2
  }
}