Pith Number

pith:UPNB6QZZ

pith:2012:UPNB6QZZKENVMBWWKH5WWVNKO4

not attested not anchored not stored refs pending

Pure O-sequences: known results, applications, and open problems

Fabrizio Zanello, Juan Migliore, Uwe Nagel

arxiv:1204.5247 v2 · 2012-04-24 · math.AC · 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{UPNB6QZZKENVMBWWKH5WWVNKO4}

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	2026-05-18T03:33:14.165976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3da1f4339511b5606d651fb6b55aa77260db0ae840981db5a82ca54330ef577

Aliases

arxiv: 1204.5247 · arxiv_version: 1204.5247v2 · doi: 10.48550/arxiv.1204.5247 · pith_short_12: UPNB6QZZKENV · pith_short_16: UPNB6QZZKENVMBWW · pith_short_8: UPNB6QZZ

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/UPNB6QZZKENVMBWWKH5WWVNKO4 \
  | 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: a3da1f4339511b5606d651fb6b55aa77260db0ae840981db5a82ca54330ef577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e46e5bf8ff496d4b41680e6fec8eab459b242a4faa4993d5570146cd265ad4e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-04-24T01:33:12Z",
    "title_canon_sha256": "445bd47ffa7f9ead1e973cfb3db6823933421345c10257e800cc33d7ef43d41c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5247",
    "kind": "arxiv",
    "version": 2
  }
}