Pith Number

pith:F7EU6QV2

pith:2022:F7EU6QV2MSBESV2YI6ZTH5U4XH

not attested not anchored not stored refs pending

Singularities of local models

Jo\~ao Louren\c{c}o, Najmuddin Fakhruddin, Thomas Haines, Timo Richarz

arxiv:2208.12072 v3 · 2022-08-25 · math.AG · 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{F7EU6QV2MSBESV2YI6ZTH5U4XH}

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

Irreducibility of Local Models

Receipt and verification

First computed	2026-07-05T09:52:55.525225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc94f42ba648249575847b333f69cb9e2d274c0b6b81300582b691ae6ad26f7

Aliases

arxiv: 2208.12072 · arxiv_version: 2208.12072v3 · doi: 10.48550/arxiv.2208.12072 · pith_short_12: F7EU6QV2MSBE · pith_short_16: F7EU6QV2MSBESV2Y · pith_short_8: F7EU6QV2

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/F7EU6QV2MSBESV2YI6ZTH5U4XH \
  | 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: 2fc94f42ba648249575847b333f69cb9e2d274c0b6b81300582b691ae6ad26f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ffc97d49f64d2b781223630b68ceccde907024ba72fe4c88931fcf75ffd6ff1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-08-25T13:09:55Z",
    "title_canon_sha256": "09bba99c29ec343c028ee769db33a377c11068db433a8a38fee1d8f40759130a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.12072",
    "kind": "arxiv",
    "version": 3
  }
}