Pith Number

pith:KMAJ3FGD

pith:2014:KMAJ3FGDJV7OUQHH46EEYV54JE

not attested not anchored not stored refs pending

Essential twisted surfaces in alternating link complements

Jessica S. Purcell, Marc Lackenby

arxiv:1410.6318 v3 · 2014-10-23 · 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{KMAJ3FGDJV7OUQHH46EEYV54JE}

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	2026-05-18T00:54:20.846894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53009d94c34d7eea40e7e7884c57bc493226110f3c6687d747f48af699919561

Aliases

arxiv: 1410.6318 · arxiv_version: 1410.6318v3 · doi: 10.48550/arxiv.1410.6318 · pith_short_12: KMAJ3FGDJV7O · pith_short_16: KMAJ3FGDJV7OUQHH · pith_short_8: KMAJ3FGD

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/KMAJ3FGDJV7OUQHH46EEYV54JE \
  | 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: 53009d94c34d7eea40e7e7884c57bc493226110f3c6687d747f48af699919561

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b9b48242fa7f87d8eb876765ce47670f1bda6016c5ecb1c11397213dfddd637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-23T11:10:04Z",
    "title_canon_sha256": "aec9d4a47dfb1256289c7cf9519563c91376f50a0fbe4d015e0e2822d56cad2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.6318",
    "kind": "arxiv",
    "version": 3
  }
}