Pith Number

pith:VKD76HK2

pith:1999:VKD76HK2ZAJAZ3M3QD7JSVVJEX

not attested not anchored not stored refs pending

On Multi-color partitions and the generalized Rogers-Ramanujan identities

Carla Savage, Kailash Misra, Naihuan Jing

arxiv:math/9907183 v3 · 1999-07-29 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKD76HK2ZAJAZ3M3QD7JSVVJEX}

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	2026-05-18T01:05:32.816050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa87ff1d5ac8120ced9b80fe9956a925e4643e9414f2e6789e0571600a50c40b

Aliases

arxiv: math/9907183 · arxiv_version: math/9907183v3 · doi: 10.48550/arxiv.math/9907183 · pith_short_12: VKD76HK2ZAJA · pith_short_16: VKD76HK2ZAJAZ3M3 · pith_short_8: VKD76HK2

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/VKD76HK2ZAJAZ3M3QD7JSVVJEX \
  | 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: aa87ff1d5ac8120ced9b80fe9956a925e4643e9414f2e6789e0571600a50c40b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebedb8f53da6cac8ba6be444c37a2b8ac120fbc8028873adc0aa118cc412a91b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1999-07-29T03:09:04Z",
    "title_canon_sha256": "094b9a340e8aa8280cd436937dc7ec0eccddfca140f09e2166fb9c34612669ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907183",
    "kind": "arxiv",
    "version": 3
  }
}