Pith Number

pith:WK7Y6JQ3

pith:2018:WK7Y6JQ3XBJYBQQR6RBZJEA67Z

not attested not anchored not stored refs pending

Automatic Proof of Theta-Function Identities

Frank Garvan, Jie Frye

arxiv:1807.08051 v1 · 2018-07-20 · 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{WK7Y6JQ3XBJYBQQR6RBZJEA67Z}

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	2026-05-18T00:10:09.477077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2bf8f261bb85380c211f44394901efe6582f77bb20b1f7f7d125591d4985c0e

Aliases

arxiv: 1807.08051 · arxiv_version: 1807.08051v1 · doi: 10.48550/arxiv.1807.08051 · pith_short_12: WK7Y6JQ3XBJY · pith_short_16: WK7Y6JQ3XBJYBQQR · pith_short_8: WK7Y6JQ3

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/WK7Y6JQ3XBJYBQQR6RBZJEA67Z \
  | 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: b2bf8f261bb85380c211f44394901efe6582f77bb20b1f7f7d125591d4985c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfa533d7db3153b9749f52637bdb32c9913414543ad9450ada78efea41a5dddd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-20T23:07:25Z",
    "title_canon_sha256": "f44bc4a7318e237295951a9b4a4258037abf74e7039be878cc3d97b1c0b2a294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08051",
    "kind": "arxiv",
    "version": 1
  }
}