Pith Number

pith:CYTCE634

pith:2015:CYTCE634VX2TP6C3LZO2ELWA56

not attested not anchored not stored refs pending

Pretzel Knots and q-Series

Mohamed Elhamdadi, Mustafa Hajij

arxiv:1512.00129 v4 · 2015-12-01 · math.GT · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYTCE634VX2TP6C3LZO2ELWA56}

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	2026-05-18T01:15:57.873629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1626227b7cadf537f85b5e5da22ec0efa2e2554256d27bfb15737f3ede13a7d9

Aliases

arxiv: 1512.00129 · arxiv_version: 1512.00129v4 · doi: 10.48550/arxiv.1512.00129 · pith_short_12: CYTCE634VX2T · pith_short_16: CYTCE634VX2TP6C3 · pith_short_8: CYTCE634

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/CYTCE634VX2TP6C3LZO2ELWA56 \
  | 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: 1626227b7cadf537f85b5e5da22ec0efa2e2554256d27bfb15737f3ede13a7d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "602507fd3e3f19ac44821e58cdfb8526520714b58e4d09f7c2c08baf9a0e9738",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-01T03:11:47Z",
    "title_canon_sha256": "9d099345ddc254a863eace0c5f1c30164b5cab7b2a8c8cd2ccfb5a55a418bd60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00129",
    "kind": "arxiv",
    "version": 4
  }
}