Pith Number

pith:T6LESFTR

pith:2010:T6LESFTROWNLSDYJ7W5YOSCBJL

not attested not anchored not stored refs pending

On abelian 2-categories and derived 2-functors

Teimuraz Pirashvili

arxiv:1007.4138 v4 · 2010-07-19 · 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{T6LESFTROWNLSDYJ7W5YOSCBJL}

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	2026-05-18T04:32:36.343595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f96491671759ab90f09fdbb8748414acc44b541ef1de4489ba6fa33712b9e52

Aliases

arxiv: 1007.4138 · arxiv_version: 1007.4138v4 · doi: 10.48550/arxiv.1007.4138 · pith_short_12: T6LESFTROWNL · pith_short_16: T6LESFTROWNLSDYJ · pith_short_8: T6LESFTR

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/T6LESFTROWNLSDYJ7W5YOSCBJL \
  | 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: 9f96491671759ab90f09fdbb8748414acc44b541ef1de4489ba6fa33712b9e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "593fef3d2d8ac8667aa971584a3a35062db208a9f5e506e669562ce3dfb7a9ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-07-19T11:13:36Z",
    "title_canon_sha256": "1e8e8db9a17d9207dea53ed6d5e711ba27e30d765de0ec669d6f379ce8881eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4138",
    "kind": "arxiv",
    "version": 4
  }
}