Pith Number

pith:QWE5VGYO

pith:2012:QWE5VGYOYDZVQEH7UUHPCMLCMN

not attested not anchored not stored refs pending

Classical theta functions from a quantum group perspective

Alastair Hamilton, Razvan Gelca

arxiv:1209.1135 v1 · 2012-09-05 · math.QA · math.CV · 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{QWE5VGYOYDZVQEH7UUHPCMLCMN}

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	2026-05-18T03:46:06.438727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8589da9b0ec0f35810ffa50ef1316263743d5d1a9a344beb99e2f677cbcd869a

Aliases

arxiv: 1209.1135 · arxiv_version: 1209.1135v1 · doi: 10.48550/arxiv.1209.1135 · pith_short_12: QWE5VGYOYDZV · pith_short_16: QWE5VGYOYDZVQEH7 · pith_short_8: QWE5VGYO

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/QWE5VGYOYDZVQEH7UUHPCMLCMN \
  | 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: 8589da9b0ec0f35810ffa50ef1316263743d5d1a9a344beb99e2f677cbcd869a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09118355eba6af459cedb97b6829821e3f0f1988afce72f62e84d075e9194c1",
    "cross_cats_sorted": [
      "math.CV",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-09-05T22:32:50Z",
    "title_canon_sha256": "220e611eac1aa4fde76009bcc09d90f7392c02b11075b8938fd3ee70aa8b301a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1135",
    "kind": "arxiv",
    "version": 1
  }
}