Pith Number

pith:HTAYEINZ

pith:2015:HTAYEINZXZA7YB6AGELHPNMG44

not attested not anchored not stored refs pending

Identities for generalized Appell functions and the blow-up formula

Jan Manschot, Kathrin Bringmann, Larry Rolen

arxiv:1510.00630 v1 · 2015-10-02 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTAYEINZXZA7YB6AGELHPNMG44}

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	2026-05-18T01:08:12.955279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc18221b9be41fc07c0311677b586e729ec03b2e77e18f6f8ba41beed072885

Aliases

arxiv: 1510.00630 · arxiv_version: 1510.00630v1 · doi: 10.48550/arxiv.1510.00630 · pith_short_12: HTAYEINZXZA7 · pith_short_16: HTAYEINZXZA7YB6A · pith_short_8: HTAYEINZ

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/HTAYEINZXZA7YB6AGELHPNMG44 \
  | 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: 3cc18221b9be41fc07c0311677b586e729ec03b2e77e18f6f8ba41beed072885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5808b8bfab49822348430d0f005db1ac31632e7952dbe18d3b8b671c787e04c3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-02T16:00:22Z",
    "title_canon_sha256": "7d1a00ba08eeaec4804b27f74859e4536ad9c8053b04e1f92511d5d778732700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00630",
    "kind": "arxiv",
    "version": 1
  }
}