Pith Number

pith:LDPYYD6Z

pith:1999:LDPYYD6ZHTTO46O5C34NVIRESB

not attested not anchored not stored refs pending

Transformation Laws for Theta functions

C. Dong, G. Mason

arxiv:math/9903107 v1 · 1999-03-17 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDPYYD6ZHTTO46O5C34NVIRESB}

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	2026-07-04T14:41:05.299157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58df8c0fd93ce6ee79dd16f8daa224907b073564bcb959b6a1bbae1f60569aaf

Aliases

arxiv: math/9903107 · arxiv_version: math/9903107v1 · doi: 10.48550/arxiv.math/9903107 · pith_short_12: LDPYYD6ZHTTO · pith_short_16: LDPYYD6ZHTTO46O5 · pith_short_8: LDPYYD6Z

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/LDPYYD6ZHTTO46O5C34NVIRESB \
  | 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: 58df8c0fd93ce6ee79dd16f8daa224907b073564bcb959b6a1bbae1f60569aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be088150026f24fc90aeb0c0cee15c74129a5801e98f1b494b71b1e1a84b1eaa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-03-17T21:23:17Z",
    "title_canon_sha256": "11a1d1c7e62caffd3f2ae8fea478c95d9aab288fd3a12c09457bc5866263baff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903107",
    "kind": "arxiv",
    "version": 1
  }
}