Pith Number

pith:2F2CW3BD

pith:2019:2F2CW3BDRB4JWTBNYEMC2DMZXY

not attested not anchored not stored refs pending

On Morin configurations of higher length

Alessandro Verra, Grzegorz Kapustka

arxiv:1903.07480 v2 · 2019-03-18 · 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{2F2CW3BDRB4JWTBNYEMC2DMZXY}

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	2026-05-17T23:50:35.917488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1742b6c2388789b4c2dc1182d0d99be3747945e1b5cb35b569b712f8492a72f

Aliases

arxiv: 1903.07480 · arxiv_version: 1903.07480v2 · doi: 10.48550/arxiv.1903.07480 · pith_short_12: 2F2CW3BDRB4J · pith_short_16: 2F2CW3BDRB4JWTBN · pith_short_8: 2F2CW3BD

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/2F2CW3BDRB4JWTBNYEMC2DMZXY \
  | 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: d1742b6c2388789b4c2dc1182d0d99be3747945e1b5cb35b569b712f8492a72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26487794ecb15f4ebfafbb1b16704830d06355d68c828dc72ec7e82f55907d6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-18T14:39:43Z",
    "title_canon_sha256": "54532d74ab7fd5c6e1ba2e653883d9032a2e1ff6ed62de85eacd40f8ee5e7f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07480",
    "kind": "arxiv",
    "version": 2
  }
}