Pith Number

pith:F7T2ZJPG

pith:2023:F7T2ZJPGGP5B4SMIWT2CFYJT6K

not attested not anchored not stored refs pending

Knots and Their Related $q$-Series

Don Zagier, Stavros Garoufalidis

arxiv:2304.09377 v2 · 2023-04-19 · math.GT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7T2ZJPGGP5B4SMIWT2CFYJT6K}

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	2026-07-05T07:07:37.408976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fe7aca5e633fa1e4988b4f422e133f2b40c404a2ed9ba1f5ca31975a4d6ff03

Aliases

arxiv: 2304.09377 · arxiv_version: 2304.09377v2 · doi: 10.48550/arxiv.2304.09377 · pith_short_12: F7T2ZJPGGP5B · pith_short_16: F7T2ZJPGGP5B4SMI · pith_short_8: F7T2ZJPG

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/F7T2ZJPGGP5B4SMIWT2CFYJT6K \
  | 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: 2fe7aca5e633fa1e4988b4f422e133f2b40c404a2ed9ba1f5ca31975a4d6ff03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb5cb5481677d7755882c3f1457b7c1a8779959e59951f85c088ce296fdb917",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-04-19T02:16:09Z",
    "title_canon_sha256": "351e1247d23b3b1097458dcdbc018f1c325a888d1b7282468ca8aa8e2a626dee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.09377",
    "kind": "arxiv",
    "version": 2
  }
}