Pith Number

pith:EXA2GS4B

pith:2010:EXA2GS4BETUXLDBQTEWKYARYS7

not attested not anchored not stored refs pending

Asymptotics of coefficients of multivariate generating functions: improvements for multiple points

Alexander Raichev, Mark C. Wilson

arxiv:1009.5715 v3 · 2010-09-28 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXA2GS4BETUXLDBQTEWKYARYS7}

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	2026-05-18T03:49:22.506164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c1a34b8124e9758c30992cac023897df020413562c961e6f0bf5ce46556bb7

Aliases

arxiv: 1009.5715 · arxiv_version: 1009.5715v3 · doi: 10.48550/arxiv.1009.5715 · pith_short_12: EXA2GS4BETUX · pith_short_16: EXA2GS4BETUXLDBQ · pith_short_8: EXA2GS4B

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/EXA2GS4BETUXLDBQTEWKYARYS7 \
  | 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: 25c1a34b8124e9758c30992cac023897df020413562c961e6f0bf5ce46556bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87be00860432a5fbacf21b40957b53709bfe1950fb76f0bdc8b78966facab995",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-28T22:40:57Z",
    "title_canon_sha256": "2ae00514114a04cec6437810897ba3e0d7fd3d8893887906f1f7f2893f4e2208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5715",
    "kind": "arxiv",
    "version": 3
  }
}