Pith Number

pith:7FZDM6OA

pith:2011:7FZDM6OACR2HRHBBVDXGYRHEI7

not attested not anchored not stored refs pending

Gluck twist on a certain family of 2-knots

Andr\'as I. Stipsicz, Daniel Nash

arxiv:1103.5571 v1 · 2011-03-29 · 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{7FZDM6OACR2HRHBBVDXGYRHEI7}

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	2026-05-18T04:25:37.297018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9723679c01474789c21a8ee6c44e447df6397a09cf4d361e2d1e9bd6abcd42c

Aliases

arxiv: 1103.5571 · arxiv_version: 1103.5571v1 · doi: 10.48550/arxiv.1103.5571 · pith_short_12: 7FZDM6OACR2H · pith_short_16: 7FZDM6OACR2HRHBB · pith_short_8: 7FZDM6OA

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/7FZDM6OACR2HRHBBVDXGYRHEI7 \
  | 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: f9723679c01474789c21a8ee6c44e447df6397a09cf4d361e2d1e9bd6abcd42c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d2846818fb2278a6e7ab11e8b48a950ec936a77f71e68681fa56c35dd42296b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-29T08:50:43Z",
    "title_canon_sha256": "d03737711a99974f5c1189d7189020092e34ca2a9eb161c7e57992799ba1ce6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5571",
    "kind": "arxiv",
    "version": 1
  }
}