Pith Number

pith:FNYQIPU6

pith:2011:FNYQIPU6JHFCFO62VXBHMLDTNZ

not attested not anchored not stored refs pending

On the combinatorics of sparsification

Christian M. Reidys, Fenix W. D. Huang

arxiv:1201.0308 v2 · 2011-12-31 · 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{FNYQIPU6JHFCFO62VXBHMLDTNZ}

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	2026-05-18T04:03:06.325848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b71043e9e49ca22bbdaadc2762c736e4443f624e315793ff0dfbce44625379f

Aliases

arxiv: 1201.0308 · arxiv_version: 1201.0308v2 · doi: 10.48550/arxiv.1201.0308 · pith_short_12: FNYQIPU6JHFC · pith_short_16: FNYQIPU6JHFCFO62 · pith_short_8: FNYQIPU6

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/FNYQIPU6JHFCFO62VXBHMLDTNZ \
  | 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: 2b71043e9e49ca22bbdaadc2762c736e4443f624e315793ff0dfbce44625379f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60fe5b888eae26a4ecc4e3d28b9dd16b35833c10b551d4f200db8aed16d6df0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-31T21:11:53Z",
    "title_canon_sha256": "308a26a60ce5a4cc6c47786ebcfe2e92f13040d8c451bf7b762c1bbdf93e073a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0308",
    "kind": "arxiv",
    "version": 2
  }
}