Pith Number

pith:5NEWQP7F

pith:2024:5NEWQP7FNFUWQZDVI6YUGQTYER

not attested not anchored not stored refs pending

Saturation of reduced products

Alessandro Vignati, Ben De Bondt, Ilijas Farah

arxiv:2401.12539 v1 · 2024-01-23 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5NEWQP7FNFUWQZDVI6YUGQTYER}

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

Coordinate recognition: General theory, Groups, and other surprises

Receipt and verification

First computed	2026-07-05T07:36:32.083505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb49683fe5696968647547b1434278245c3b9f669a1420eeb5bd168f909c14d5

Aliases

arxiv: 2401.12539 · arxiv_version: 2401.12539v1 · doi: 10.48550/arxiv.2401.12539 · pith_short_12: 5NEWQP7FNFUW · pith_short_16: 5NEWQP7FNFUWQZDV · pith_short_8: 5NEWQP7F

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/5NEWQP7FNFUWQZDVI6YUGQTYER \
  | 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: eb49683fe5696968647547b1434278245c3b9f669a1420eeb5bd168f909c14d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0b5791d03c26b7684cb53a20b66f01b75e2a387fe443641b7aec3908485ef9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-01-23T07:45:12Z",
    "title_canon_sha256": "512276904e5a9d6cd7f24c3ecb080ae9c8d69c8022cb132eb1b12602e3904231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.12539",
    "kind": "arxiv",
    "version": 1
  }
}