Pith Number

pith:T25DZVSP

pith:2010:T25DZVSPAWQIC4NDBWELHL4XCR

not attested not anchored not stored refs pending

Relaxed complete partitions: an error-correcting Bachet's problem

Edwin O'Shea, Jorge Bruno

arxiv:1010.5485 v2 · 2010-10-26 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T25DZVSPAWQIC4NDBWELHL4XCR}

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	2026-05-18T03:02:59.883993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eba3cd64f05a08171a30d88b3af97147f64953561817bd374af783d3fa0ace9

Aliases

arxiv: 1010.5485 · arxiv_version: 1010.5485v2 · doi: 10.48550/arxiv.1010.5485 · pith_short_12: T25DZVSPAWQI · pith_short_16: T25DZVSPAWQIC4ND · pith_short_8: T25DZVSP

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/T25DZVSPAWQIC4NDBWELHL4XCR \
  | 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: 9eba3cd64f05a08171a30d88b3af97147f64953561817bd374af783d3fa0ace9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "655c6ef619d9ce24062bf99eafbaf515664e3e0af65f09e4deecbf98a91dff30",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-26T19:05:46Z",
    "title_canon_sha256": "3268276d0dc831f6054ebf626b75bd91c896f3112c0b5d9e10aaa13fd363b30c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5485",
    "kind": "arxiv",
    "version": 2
  }
}