Pith Number

pith:EPW2HNNS

pith:2012:EPW2HNNSNVKJHURIRUEBDINQQL

not attested not anchored not stored refs pending

Riemann-Roch theory on finite sets

Rick Miranda, Rodney James

arxiv:1202.0247 v1 · 2012-02-01 · math.AG · 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{EPW2HNNSNVKJHURIRUEBDINQQL}

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	2026-05-18T00:30:55.750213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23eda3b5b26d5493d2288d0811a1b082cdf67231029b70b0704aa09f58ed7c4c

Aliases

arxiv: 1202.0247 · arxiv_version: 1202.0247v1 · doi: 10.48550/arxiv.1202.0247 · pith_short_12: EPW2HNNSNVKJ · pith_short_16: EPW2HNNSNVKJHURI · pith_short_8: EPW2HNNS

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/EPW2HNNSNVKJHURIRUEBDINQQL \
  | 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: 23eda3b5b26d5493d2288d0811a1b082cdf67231029b70b0704aa09f58ed7c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c8eeac492b27ce0ce646316fe4b1f2ff6e8fec1f79fbdf5021775212e703d7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-01T19:13:54Z",
    "title_canon_sha256": "42ca679b1761b21821b3ef87ea0587ce485dbf368135d48f85e720edd981ddba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0247",
    "kind": "arxiv",
    "version": 1
  }
}