Pith Number

pith:DMLL7G4C

pith:2013:DMLL7G4CBJDAMXD6KMU2EIZKTG

not attested not anchored not stored refs pending

Upper bounds for the complexity of torus knot complements

Bert Wiest, Evgeny Fominykh

arxiv:1302.3863 v1 · 2013-02-15 · 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{DMLL7G4CBJDAMXD6KMU2EIZKTG}

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	2026-05-18T03:33:27.201354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b16bf9b820a46065c7e5329a2232a99ba3acbcc3dc13735d994e755dee71289

Aliases

arxiv: 1302.3863 · arxiv_version: 1302.3863v1 · doi: 10.48550/arxiv.1302.3863 · pith_short_12: DMLL7G4CBJDA · pith_short_16: DMLL7G4CBJDAMXD6 · pith_short_8: DMLL7G4C

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/DMLL7G4CBJDAMXD6KMU2EIZKTG \
  | 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: 1b16bf9b820a46065c7e5329a2232a99ba3acbcc3dc13735d994e755dee71289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "071a56dba61bb1024d42df38bbd9e17c734a505788b04aa164a1ac55e0e4c2c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-15T20:20:54Z",
    "title_canon_sha256": "5c27122e272b2963f508673fdb4ce5405aaa6d0a8ee2b9d15ee8b8486c0272ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3863",
    "kind": "arxiv",
    "version": 1
  }
}