Pith Number

pith:YYLURAO5

pith:2012:YYLURAO5MK5IEUHGPBYCONBA67

not attested not anchored not stored refs pending

Exponential tropical varieties and complex Monge-Ampere operator

Boris Kazarnovskii

arxiv:1212.5503 v2 · 2012-12-21 · 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{YYLURAO5MK5IEUHGPBYCONBA67}

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	2026-05-18T03:24:53.900418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6174881dd62ba8250e67870273420f7c16646d58bdb2f3e8a66001143a739f5

Aliases

arxiv: 1212.5503 · arxiv_version: 1212.5503v2 · doi: 10.48550/arxiv.1212.5503 · pith_short_12: YYLURAO5MK5I · pith_short_16: YYLURAO5MK5IEUHG · pith_short_8: YYLURAO5

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/YYLURAO5MK5IEUHGPBYCONBA67 \
  | 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: c6174881dd62ba8250e67870273420f7c16646d58bdb2f3e8a66001143a739f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d376e9d701bc2d1a66af4b56dc44a2edee6627ac489940484393cf5c3b3ff8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-21T16:00:25Z",
    "title_canon_sha256": "91116ece07169cb0aacae2b3030f89a906cd07940051ab88d78ba2d52d082b52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5503",
    "kind": "arxiv",
    "version": 2
  }
}