Pith Number

pith:IHGOQYY5

pith:2012:IHGOQYY52RVR7YENXYAYU7SD6V

not attested not anchored not stored refs pending

Monomials, Binomials, and Riemann-Roch

Bernd Sturmfels, Madhusudan Manjunath

arxiv:1201.4357 v2 · 2012-01-20 · math.AC · cs.DM · 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{IHGOQYY52RVR7YENXYAYU7SD6V}

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	2026-05-18T03:51:25.454700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41cce8631dd46b1fe08dbe018a7e43f575d4240e3852a03ffb16d87f113f27f2

Aliases

arxiv: 1201.4357 · arxiv_version: 1201.4357v2 · doi: 10.48550/arxiv.1201.4357 · pith_short_12: IHGOQYY52RVR · pith_short_16: IHGOQYY52RVR7YEN · pith_short_8: IHGOQYY5

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/IHGOQYY52RVR7YENXYAYU7SD6V \
  | 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: 41cce8631dd46b1fe08dbe018a7e43f575d4240e3852a03ffb16d87f113f27f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491543ad854185a2748d3c49a6229148a19e07163385d40e3a6fe35258e9f5f9",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-01-20T18:12:44Z",
    "title_canon_sha256": "a264b88aa98e49444a822405a25aba2cb165e3118beed36a64037c45236baea3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4357",
    "kind": "arxiv",
    "version": 2
  }
}