Pith Number

pith:O4MZNYMR

pith:2010:O4MZNYMRJKEZ35YDTI4GM7MH3M

not attested not anchored not stored refs pending

Non-vanishing of Taylor coefficients and Poincar\'e series

Cormac O'Sullivan, Morten S. Risager

arxiv:1008.5092 v3 · 2010-08-30 · 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{O4MZNYMRJKEZ35YDTI4GM7MH3M}

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	2026-05-18T04:01:13.400357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771996e1914a899df7039a38667d87db0f9b8fd8300ded5d0a4a902a641f4045

Aliases

arxiv: 1008.5092 · arxiv_version: 1008.5092v3 · doi: 10.48550/arxiv.1008.5092 · pith_short_12: O4MZNYMRJKEZ · pith_short_16: O4MZNYMRJKEZ35YD · pith_short_8: O4MZNYMR

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/O4MZNYMRJKEZ35YDTI4GM7MH3M \
  | 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: 771996e1914a899df7039a38667d87db0f9b8fd8300ded5d0a4a902a641f4045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c7ce2e2270c91ee6a6b83c442c7445981ddd990a6e44f4924b74d7f51b2021b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-30T14:42:32Z",
    "title_canon_sha256": "602bc06e5815ebd8eb4159df1cc6dc099614a2d9530ad2c27a8157517b10bdd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.5092",
    "kind": "arxiv",
    "version": 3
  }
}