Pith Number

pith:KKXIABGH

pith:2008:KKXIABGHZOPDOZKUTH3U3Q6WFV

not attested not anchored not stored refs pending

Asymptotics of multivariate sequences, part III: quadratic points

Robin Pemantle, Yuliy Baryshnikov

arxiv:0810.4898 v3 · 2008-10-27 · 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{KKXIABGHZOPDOZKUTH3U3Q6WFV}

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	2026-05-18T04:15:48.242555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ae8004c7cb9e37655499f74dc3d62d6c0ac54494cb7eadb80aa53ab1f8f211

Aliases

arxiv: 0810.4898 · arxiv_version: 0810.4898v3 · doi: 10.48550/arxiv.0810.4898 · pith_short_12: KKXIABGHZOPD · pith_short_16: KKXIABGHZOPDOZKU · pith_short_8: KKXIABGH

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/KKXIABGHZOPDOZKUTH3U3Q6WFV \
  | 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: 52ae8004c7cb9e37655499f74dc3d62d6c0ac54494cb7eadb80aa53ab1f8f211

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e659f92b2eaac2e1f3faf242ac5d717449ab301a520f10ef61a564f9487517de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-10-27T18:36:40Z",
    "title_canon_sha256": "a83ab8f0a23636920547c93a2af948295c09f928a27591c1e39a0bc276023dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4898",
    "kind": "arxiv",
    "version": 3
  }
}