Pith Number

pith:SAV72ZCB

pith:2010:SAV72ZCB7K5U56A6OHJ2XUIOL6

not attested not anchored not stored refs pending

Sequences of LCT-polytopes

Anatoly Libgober, Mircea Mustata

arxiv:1002.4163 v3 · 2010-02-22 · 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{SAV72ZCB7K5U56A6OHJ2XUIOL6}

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	2026-05-18T04:23:11.752001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

902bfd6441fabb4ef81e71d3abd10e5f845602305e73d7b3279851b18a1921a3

Aliases

arxiv: 1002.4163 · arxiv_version: 1002.4163v3 · doi: 10.48550/arxiv.1002.4163 · pith_short_12: SAV72ZCB7K5U · pith_short_16: SAV72ZCB7K5U56A6 · pith_short_8: SAV72ZCB

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/SAV72ZCB7K5U56A6OHJ2XUIOL6 \
  | 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: 902bfd6441fabb4ef81e71d3abd10e5f845602305e73d7b3279851b18a1921a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2646b5c97fa55eede82e32baf92837fb15a1495dc8875890e0d3fd4e5abf2b5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-02-22T18:20:31Z",
    "title_canon_sha256": "5246b654bc176944fd6afbaa813849899641fa9f984db73f0312c001016f91eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4163",
    "kind": "arxiv",
    "version": 3
  }
}