Pith Number

pith:P4UI7XIG

pith:2025:P4UI7XIGYAI2CZ6Z3IUW776CQ4

not attested not anchored not stored refs pending

Proto-exact and parabelian categories

Sergey Mozgovoy

arxiv:2503.05940 v1 · 2025-03-07 · math.RT · math.CT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4UI7XIGYAI2CZ6Z3IUW776CQ4}

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.

Cited by

1 paper in Pith

Proto-Exact Categories of Matroids over Idylls and Tropical Toric Reflexive Sheaves

Receipt and verification

First computed	2026-07-05T10:26:49.678626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f288fdd06c011a167d9da296fffc2870bbf7b63ff910e5bbe25d9a2121cc4d2

Aliases

arxiv: 2503.05940 · arxiv_version: 2503.05940v1 · doi: 10.48550/arxiv.2503.05940 · pith_short_12: P4UI7XIGYAI2 · pith_short_16: P4UI7XIGYAI2CZ6Z · pith_short_8: P4UI7XIG

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/P4UI7XIGYAI2CZ6Z3IUW776CQ4 \
  | 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: 7f288fdd06c011a167d9da296fffc2870bbf7b63ff910e5bbe25d9a2121cc4d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ad13df750974a27ae1a77f4722d7d62e7386fb8807e76d5869ae93fc294143",
    "cross_cats_sorted": [
      "math.CT",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-03-07T21:16:33Z",
    "title_canon_sha256": "8dcde3b9b597b5282919a9dcbfa84623fd8342e80a5aef12640d948505b59934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.05940",
    "kind": "arxiv",
    "version": 1
  }
}