Pith Number

pith:QS5FBLA3

pith:2011:QS5FBLA3OLDVFKWS3DPFAAJZPW

not attested not anchored not stored refs pending

Analogues of the general theta transformation formula

Atul Dixit

arxiv:1111.4799 v1 · 2011-11-21 · math.NT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QS5FBLA3OLDVFKWS3DPFAAJZPW}

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	2026-05-18T04:07:55.052217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84ba50ac1b72c752aad2d8de5001397dbdb5cc8b5ed96cdcfb2ec5658eae56d1

Aliases

arxiv: 1111.4799 · arxiv_version: 1111.4799v1 · doi: 10.48550/arxiv.1111.4799 · pith_short_12: QS5FBLA3OLDV · pith_short_16: QS5FBLA3OLDVFKWS · pith_short_8: QS5FBLA3

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/QS5FBLA3OLDVFKWS3DPFAAJZPW \
  | 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: 84ba50ac1b72c752aad2d8de5001397dbdb5cc8b5ed96cdcfb2ec5658eae56d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9d8fafa378da5b1bf14af6496793048c172015dbf26c37437cedffc3ebfb64",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-21T09:46:25Z",
    "title_canon_sha256": "3064ace45958e419e9bfd192d2a41ab2a6add60b2ed93337cc6c22bf5da5c164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4799",
    "kind": "arxiv",
    "version": 1
  }
}