Pith Number

pith:F2UCILNL

pith:2024:F2UCILNLOHVD4XOVZNX2NFIYGF

not attested not anchored not stored refs pending

Toric sheaves and polyhedra

Andreas Hochenegger, Frederik Witt, Klaus Altmann

arxiv:2412.03476 v2 · 2024-12-04 · 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{F2UCILNLOHVD4XOVZNX2NFIYGF}

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	2026-07-05T09:53:08.148378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ea8242dab71ea3e5dd5cb6fa6951831407abec664d216995076171ae1966575

Aliases

arxiv: 2412.03476 · arxiv_version: 2412.03476v2 · doi: 10.48550/arxiv.2412.03476 · pith_short_12: F2UCILNLOHVD · pith_short_16: F2UCILNLOHVD4XOV · pith_short_8: F2UCILNL

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/F2UCILNLOHVD4XOVZNX2NFIYGF \
  | 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: 2ea8242dab71ea3e5dd5cb6fa6951831407abec664d216995076171ae1966575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6416970ac1cee30011724a735b82547ad2b53e6c1eb1192289b62c2d51db79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-04T17:07:57Z",
    "title_canon_sha256": "633c9f8b5f9da786f796861bfee543a2893697bd5fce7bcff250ad0c20ff486e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03476",
    "kind": "arxiv",
    "version": 2
  }
}