Pith Number

pith:FIAGTNZZ

pith:2013:FIAGTNZZ3BK3N4FQSYPWQP4ZLX

not attested not anchored not stored refs pending

Vector valued formal Fourier-Jacobi series

Jan Hendrik Bruinier

arxiv:1303.3699 v3 · 2013-03-15 · 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{FIAGTNZZ3BK3N4FQSYPWQP4ZLX}

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	2026-05-18T02:44:40.512435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a0069b739d855b6f0b0961f683f995dfc0dc6fc7e3eb351f2db863a66039b41

Aliases

arxiv: 1303.3699 · arxiv_version: 1303.3699v3 · doi: 10.48550/arxiv.1303.3699 · pith_short_12: FIAGTNZZ3BK3 · pith_short_16: FIAGTNZZ3BK3N4FQ · pith_short_8: FIAGTNZZ

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/FIAGTNZZ3BK3N4FQSYPWQP4ZLX \
  | 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: 2a0069b739d855b6f0b0961f683f995dfc0dc6fc7e3eb351f2db863a66039b41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b58caf7acf02fdca4de4d5bea820be3c09c2f9cb8ffa345dada7987dcc569c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-15T07:41:54Z",
    "title_canon_sha256": "26ffca48e88321af2667774d9225f1799d4da189e88cc796b574275137f0b930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3699",
    "kind": "arxiv",
    "version": 3
  }
}