Pith Number

pith:CJJGG77E

pith:2010:CJJGG77EPRSU2KCCOV5DU6RIL7

not attested not anchored not stored refs pending

Cosmetic surgeries on knots in $S^3$

Yi Ni, Zhongtao Wu

arxiv:1009.4720 v2 · 2010-09-23 · 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{CJJGG77EPRSU2KCCOV5DU6RIL7}

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	2026-05-18T03:18:52.039940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1252637fe47c654d2842757a3a7a285ff149f00ded4451f6298752bfb5be5599

Aliases

arxiv: 1009.4720 · arxiv_version: 1009.4720v2 · doi: 10.48550/arxiv.1009.4720 · pith_short_12: CJJGG77EPRSU · pith_short_16: CJJGG77EPRSU2KCC · pith_short_8: CJJGG77E

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/CJJGG77EPRSU2KCCOV5DU6RIL7 \
  | 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: 1252637fe47c654d2842757a3a7a285ff149f00ded4451f6298752bfb5be5599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad9e7fa3a4517d6c68a9643c3a7b1f1c74f26a97a1e0b9831e3af4b54784360",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-23T20:54:51Z",
    "title_canon_sha256": "69f9396b838d2d476e860921313aceb53680a176588397fcc98a7e367399da2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4720",
    "kind": "arxiv",
    "version": 2
  }
}