Pith Number

pith:UKSM2HRS

pith:2013:UKSM2HRSLTVQU3QH6PDJDMYVQZ

not attested not anchored not stored refs pending

A Jacobi theta series and its transformation laws

Matthew Krauel

arxiv:1307.5369 v2 · 2013-07-20 · 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{UKSM2HRSLTVQU3QH6PDJDMYVQZ}

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	2026-05-18T01:34:45.808240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2a4cd1e325ceb0a6e07f3c691b31586692c40cbd7dbb89272d6a07680896a05

Aliases

arxiv: 1307.5369 · arxiv_version: 1307.5369v2 · doi: 10.48550/arxiv.1307.5369 · pith_short_12: UKSM2HRSLTVQ · pith_short_16: UKSM2HRSLTVQU3QH · pith_short_8: UKSM2HRS

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/UKSM2HRSLTVQU3QH6PDJDMYVQZ \
  | 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: a2a4cd1e325ceb0a6e07f3c691b31586692c40cbd7dbb89272d6a07680896a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "976eae2131d82df5717f222beff62f7ad97fe3da624d4ef3ab93eb38bc811569",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-20T02:59:22Z",
    "title_canon_sha256": "f88c2ec5a7286f2d9574f09df5db698901148b4aaf5964863ee7d1435f78b2b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5369",
    "kind": "arxiv",
    "version": 2
  }
}