Pith Number

pith:VTKAB65N

pith:2010:VTKAB65NFRAIGT4X6ADV4UFLR3

not attested not anchored not stored refs pending

Elementary characterisation of small quantaloids of closed cribles

Hans Heymans, Isar Stubbe

arxiv:1012.3870 v2 · 2010-12-17 · 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{VTKAB65NFRAIGT4X6ADV4UFLR3}

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	2026-05-18T04:19:32.148794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd400fbad2c40834f97f0075e50ab8ef67406fcd287e0da6c9705ee83e8f3f8

Aliases

arxiv: 1012.3870 · arxiv_version: 1012.3870v2 · doi: 10.48550/arxiv.1012.3870 · pith_short_12: VTKAB65NFRAI · pith_short_16: VTKAB65NFRAIGT4X · pith_short_8: VTKAB65N

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/VTKAB65NFRAIGT4X6ADV4UFLR3 \
  | 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: acd400fbad2c40834f97f0075e50ab8ef67406fcd287e0da6c9705ee83e8f3f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d867d1173802736fa1fc49a2a1d2ad30c679fa756e56c8294eb3880997a3ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-12-17T12:50:25Z",
    "title_canon_sha256": "d26e666adbfe045be1ba1064a4ab30c613a528c74fb95eaef14cafe614712b19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3870",
    "kind": "arxiv",
    "version": 2
  }
}