Pith Number

pith:JXKLAMBE

pith:2010:JXKLAMBESFDUB7V65T2TJOUHU3

not attested not anchored not stored refs pending

A Bijection for Partitions with Initial Repetitions

William J. Keith

arxiv:1010.2653 v1 · 2010-10-13 · 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{JXKLAMBESFDUB7V65T2TJOUHU3}

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	2026-05-18T04:39:19.880783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dd4b03024914740febeecf534ba87a6d1e6380f7281d1f68fe2dff1c1fc0c1b

Aliases

arxiv: 1010.2653 · arxiv_version: 1010.2653v1 · doi: 10.48550/arxiv.1010.2653 · pith_short_12: JXKLAMBESFDU · pith_short_16: JXKLAMBESFDUB7V6 · pith_short_8: JXKLAMBE

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/JXKLAMBESFDUB7V65T2TJOUHU3 \
  | 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: 4dd4b03024914740febeecf534ba87a6d1e6380f7281d1f68fe2dff1c1fc0c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b36b4e1e9ccdb6c809d21bc6241e0dcb3fcca7c4aae71930b1c0a2fdc694ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-13T13:09:32Z",
    "title_canon_sha256": "994efdd9f6bc5dafe4cd6152097fb9b947ce1ee87d945f8c9b36170fc61854b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2653",
    "kind": "arxiv",
    "version": 1
  }
}