Pith Number

pith:U7WBFJ7U

pith:2026:U7WBFJ7ULBTQOT5YETRFEHHW37

not attested not anchored not stored refs pending

Log Canonical Models and Positive Geometries

Benjamin Hollering, Dmitrii Pavlov, Elizabeth Pratt

arxiv:2607.28368 v1 · 2026-07-30 · math.AG · 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{U7WBFJ7ULBTQOT5YETRFEHHW37}

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	2026-07-31T01:37:27.636172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

a7ec12a7f45867074fb824e2521cf6dff478e968bfd39e507129ea201788d1cc

Aliases

arxiv: 2607.28368 · arxiv_version: 2607.28368v1 · doi: 10.48550/arxiv.2607.28368 · pith_short_12: U7WBFJ7ULBTQ · pith_short_16: U7WBFJ7ULBTQOT5Y · pith_short_8: U7WBFJ7U

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/U7WBFJ7ULBTQOT5YETRFEHHW37 \
  | 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: a7ec12a7f45867074fb824e2521cf6dff478e968bfd39e507129ea201788d1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e8331a5aa37469ef5a035073c83bd45cf44243d4a404ca9fe0d82ea6ebc3e6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-30T15:30:51Z",
    "title_canon_sha256": "eee1142332cf7d5dbbeb40a13c80e83e3c996e5fa1fce5181a56031a432aefe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28368",
    "kind": "arxiv",
    "version": 1
  }
}