Pith Number

pith:PG47NGAD

pith:2018:PG47NGAD55QXQBPEJEZKZHGF5V

not attested not anchored not stored refs pending

Grothendieck topologies on posets

Jens Hemelaer

arxiv:1811.10039 v1 · 2018-11-25 · math.CT · math.AG · math.GN · 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{PG47NGAD55QXQBPEJEZKZHGF5V}

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

A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories

Receipt and verification

First computed	2026-05-17T23:59:58.823063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b9f69803ef617805e44932ac9cc5ed5d6f0f472cbb26c532251f90a5a7698a

Aliases

arxiv: 1811.10039 · arxiv_version: 1811.10039v1 · doi: 10.48550/arxiv.1811.10039 · pith_short_12: PG47NGAD55QX · pith_short_16: PG47NGAD55QXQBPE · pith_short_8: PG47NGAD

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/PG47NGAD55QXQBPEJEZKZHGF5V \
  | 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: 79b9f69803ef617805e44932ac9cc5ed5d6f0f472cbb26c532251f90a5a7698a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd0c6b26d8d1ba9803732f5869444b25208066a9c111ac4f6fe553f4529934b",
    "cross_cats_sorted": [
      "math.AG",
      "math.GN",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-11-25T15:41:34Z",
    "title_canon_sha256": "65389782b78e2663ead0b0d71276df9945684654f90764b4d5800446b42f5e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10039",
    "kind": "arxiv",
    "version": 1
  }
}