Pith Number

pith:VLJL2HIV

pith:2015:VLJL2HIVUB35PX5WKAJOAIE4J7

not attested not anchored not stored refs pending

Hyperbolic Fourier coefficients of Poincar\'e series

Cormac O'Sullivan, Karen Taylor

arxiv:1504.00844 v2 · 2015-04-03 · 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{VLJL2HIVUB35PX5WKAJOAIE4J7}

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	2026-05-18T00:50:57.874294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aad2bd1d15a077d7dfb65012e0209c4ff54ebd7778a5d88beb475284ed4c5438

Aliases

arxiv: 1504.00844 · arxiv_version: 1504.00844v2 · doi: 10.48550/arxiv.1504.00844 · pith_short_12: VLJL2HIVUB35 · pith_short_16: VLJL2HIVUB35PX5W · pith_short_8: VLJL2HIV

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/VLJL2HIVUB35PX5WKAJOAIE4J7 \
  | 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: aad2bd1d15a077d7dfb65012e0209c4ff54ebd7778a5d88beb475284ed4c5438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "188657a1bbf77448807fcc637a302cce89ace5b169fa23d48aaffe8b1f0d8523",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-03T13:53:52Z",
    "title_canon_sha256": "ed4ab992632999f2bb3cea3734198d79857f0e408dd6c0f24cc755bfc299fe98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00844",
    "kind": "arxiv",
    "version": 2
  }
}