Pith Number

pith:YRMMIRG6

pith:2011:YRMMIRG6RO3HINLC6FQYEUQSHA

not attested not anchored not stored refs pending

The quest for counterexamples in toric geometry

Winfried Bruns

arxiv:1110.1840 v2 · 2011-10-09 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRMMIRG6RO3HINLC6FQYEUQSHA}

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	2026-05-18T03:35:26.289676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c458c444de8bb6743562f161825212381567878499e0f4b91d5583dba01905d9

Aliases

arxiv: 1110.1840 · arxiv_version: 1110.1840v2 · doi: 10.48550/arxiv.1110.1840 · pith_short_12: YRMMIRG6RO3H · pith_short_16: YRMMIRG6RO3HINLC · pith_short_8: YRMMIRG6

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/YRMMIRG6RO3HINLC6FQYEUQSHA \
  | 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: c458c444de8bb6743562f161825212381567878499e0f4b91d5583dba01905d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d989652cecdb3a18a7fd1c5432a4f70e687986083de188adabf33d22d3543a73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-09T14:05:43Z",
    "title_canon_sha256": "0717029e7751fb545a7afab724b2c2a7a5e7ad2422e4198606f69df83fe82a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1840",
    "kind": "arxiv",
    "version": 2
  }
}