Pith Number

pith:ADKUVPXE

pith:2011:ADKUVPXEEODSSYCMZZHG7X76RH

not attested not anchored not stored refs pending

Unoriented band surgery on knots and links

Taizo Kanenobu, Tetsuya Abe

arxiv:1112.2449 v1 · 2011-12-12 · 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{ADKUVPXEEODSSYCMZZHG7X76RH}

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	2026-05-18T04:06:34.363332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00d54abee4238729604cce4e6fdffe89ef7f2f7c2be4b74752088fde2ba85b2f

Aliases

arxiv: 1112.2449 · arxiv_version: 1112.2449v1 · doi: 10.48550/arxiv.1112.2449 · pith_short_12: ADKUVPXEEODS · pith_short_16: ADKUVPXEEODSSYCM · pith_short_8: ADKUVPXE

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/ADKUVPXEEODSSYCMZZHG7X76RH \
  | 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: 00d54abee4238729604cce4e6fdffe89ef7f2f7c2be4b74752088fde2ba85b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9691ca3200d4d566bf5311445576a872942f11ba5ac623be466b9cd425bf2a0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-12T06:03:40Z",
    "title_canon_sha256": "83e22886982598e1ce7b1aed147ba05fffca457403f6846b8cd0ad014fe3b63d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2449",
    "kind": "arxiv",
    "version": 1
  }
}