Pith Number

pith:4JWFJSI3

pith:2011:4JWFJSI3HAFQHFDQB6F3LRTRMR

not attested not anchored not stored refs pending

Cosmetic crossings and Seifert matrices

Cheryl Balm, Efstratia Kalfagianni, Mark Powell, Stefan Friedl

arxiv:1108.3102 v2 · 2011-08-15 · 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{4JWFJSI3HAFQHFDQB6F3LRTRMR}

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	2026-05-18T03:20:20.905912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26c54c91b380b0394700f8bb5c671644bb1352f44d0da622a74c7f0e7308538

Aliases

arxiv: 1108.3102 · arxiv_version: 1108.3102v2 · doi: 10.48550/arxiv.1108.3102 · pith_short_12: 4JWFJSI3HAFQ · pith_short_16: 4JWFJSI3HAFQHFDQ · pith_short_8: 4JWFJSI3

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/4JWFJSI3HAFQHFDQB6F3LRTRMR \
  | 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: e26c54c91b380b0394700f8bb5c671644bb1352f44d0da622a74c7f0e7308538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8414e91bc3b93372019462ec70edb6d18605d145a711c6a3a9517845e7d78179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-15T21:35:19Z",
    "title_canon_sha256": "d99d2b8b55403e9d61fce3b8cf4014eeb7ea5c7a50a38f277e03b41fd8ed0f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3102",
    "kind": "arxiv",
    "version": 2
  }
}