Pith Number

pith:CIN2EP3N

pith:2013:CIN2EP3NH276LCNPAI753BNZBM

not attested not anchored not stored refs pending

Two isomorphism criteria for directed colimits

Luca Spada, Vincenzo Marra

arxiv:1312.0432 v1 · 2013-12-02 · math.CT · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIN2EP3NH276LCNPAI753BNZBM}

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	2026-05-18T03:05:45.706864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121ba23f6d3ebfe589af023fdd85b90b2091337711a1dad976abd00c33cd9e1b

Aliases

arxiv: 1312.0432 · arxiv_version: 1312.0432v1 · doi: 10.48550/arxiv.1312.0432 · pith_short_12: CIN2EP3NH276 · pith_short_16: CIN2EP3NH276LCNP · pith_short_8: CIN2EP3N

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/CIN2EP3NH276LCNPAI753BNZBM \
  | 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: 121ba23f6d3ebfe589af023fdd85b90b2091337711a1dad976abd00c33cd9e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a5c705d82073afb252e4c093e2f2e83e364ec26ec9bb746fd01c3d648dbf552",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-12-02T12:09:43Z",
    "title_canon_sha256": "9a2d91dcdb4d3a76335cf2c0d33607cecfceb0b8b164c55104735537f6406a11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0432",
    "kind": "arxiv",
    "version": 1
  }
}