Pith Number

pith:RXR4P7SA

pith:2026:RXR4P7SAZP3P3U4GC6IM2D5IAG

not attested not anchored not stored refs pending

Some Remarks About Integral Categories

Max Zinchenko, Yaroslav Kopylov

arxiv:2606.21248 v1 · 2026-06-19 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXR4P7SAZP3P3U4GC6IM2D5IAG}

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	2026-06-23T01:12:34.672362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8de3c7fe40cbf6fdd3861790cd0fa8018233d8c29f43e5a4ddfb158dd97f48f5

Aliases

arxiv: 2606.21248 · arxiv_version: 2606.21248v1 · doi: 10.48550/arxiv.2606.21248 · pith_short_12: RXR4P7SAZP3P · pith_short_16: RXR4P7SAZP3P3U4G · pith_short_8: RXR4P7SA

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/RXR4P7SAZP3P3U4GC6IM2D5IAG \
  | 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: 8de3c7fe40cbf6fdd3861790cd0fa8018233d8c29f43e5a4ddfb158dd97f48f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4696473e45b6fdf38f1ca45646f0ae4de78deaa167aadf7d2930098681b820c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-06-19T09:18:10Z",
    "title_canon_sha256": "f3ce27a322893c657d3a12675ab71b2290aaf184348964d1a6aa67aa994005dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21248",
    "kind": "arxiv",
    "version": 1
  }
}