Pith Number

pith:AJKGGL6Q

pith:2013:AJKGGL6QGNXX2OESWD2FMBWMKE

not attested not anchored not stored refs pending

Immersed disks, slicing numbers and concordance unknotting numbers

Brendan Owens, Saso Strle

arxiv:1311.6702 v3 · 2013-11-26 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJKGGL6QGNXX2OESWD2FMBWMKE}

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	2026-05-18T01:27:54.940836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0254632fd0336f7d3892b0f45606cc5111f64235e98b91eef801e465825d10ea

Aliases

arxiv: 1311.6702 · arxiv_version: 1311.6702v3 · doi: 10.48550/arxiv.1311.6702 · pith_short_12: AJKGGL6QGNXX · pith_short_16: AJKGGL6QGNXX2OES · pith_short_8: AJKGGL6Q

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/AJKGGL6QGNXX2OESWD2FMBWMKE \
  | 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: 0254632fd0336f7d3892b0f45606cc5111f64235e98b91eef801e465825d10ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f8707675f55a1ddb487f331b5a1998e549cb9e63b4753e6be247833894c87e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-26T15:21:26Z",
    "title_canon_sha256": "f17944856e01a6e6d90d72ad86dadc1062fc3245d40a30c055fe18c0e3bc3b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6702",
    "kind": "arxiv",
    "version": 3
  }
}