Pith Number

pith:SYKUIJQS

pith:2012:SYKUIJQSVZ4FJZF4UIV2L4WVEH

not attested not anchored not stored refs pending

Locally Restricted Compositions IV. Nearly Free Large Parts and Gap-Freeness

Edward A. Bender, E. Rodney Canfield, Zhicheng Gao

arxiv:1208.0870 v1 · 2012-08-03 · 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{SYKUIJQSVZ4FJZF4UIV2L4WVEH}

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	2026-05-18T03:49:21.285908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9615442612ae7854e4bca22ba5f2d521c8daf1cfbca3886322c2c54920ca9507

Aliases

arxiv: 1208.0870 · arxiv_version: 1208.0870v1 · doi: 10.48550/arxiv.1208.0870 · pith_short_12: SYKUIJQSVZ4F · pith_short_16: SYKUIJQSVZ4FJZF4 · pith_short_8: SYKUIJQS

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/SYKUIJQSVZ4FJZF4UIV2L4WVEH \
  | 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: 9615442612ae7854e4bca22ba5f2d521c8daf1cfbca3886322c2c54920ca9507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a651742819c0341773e930fb36f22937d180a6116723d9139b5db914c9a89529",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-03T23:53:34Z",
    "title_canon_sha256": "54bcb392d351638bb996aa1bf9ece04d315c926223c10a0c5dfa19386b26dfcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0870",
    "kind": "arxiv",
    "version": 1
  }
}