Pith Number

pith:L5MPGN3F

pith:2011:L5MPGN3FLKFXZC3O5YNG4EQ2XE

not attested not anchored not stored refs pending

The Glueing Construction and Double Categories

Susan Niefield

arxiv:1112.1307 v1 · 2011-12-06 · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5MPGN3FLKFXZC3O5YNG4EQ2XE}

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

Morphisms and comorphisms of sites I -- Double categories of sites

Receipt and verification

First computed	2026-05-18T04:06:55.745577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f58f337655a8b7c8b6eee1a6e121ab906d8fcfd9ae026b71d117e96345ea5aa

Aliases

arxiv: 1112.1307 · arxiv_version: 1112.1307v1 · doi: 10.48550/arxiv.1112.1307 · pith_short_12: L5MPGN3FLKFX · pith_short_16: L5MPGN3FLKFXZC3O · pith_short_8: L5MPGN3F

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/L5MPGN3FLKFXZC3O5YNG4EQ2XE \
  | 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: 5f58f337655a8b7c8b6eee1a6e121ab906d8fcfd9ae026b71d117e96345ea5aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd70941d0929f3af0a3a4dd55d90b825b7f7e540c52ade45e423f4c1b3d09db0",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-12-06T15:14:50Z",
    "title_canon_sha256": "11c489b6aed0c58a6ef5502bf125a46ce273df618dfb7e9978574b3500c07cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1307",
    "kind": "arxiv",
    "version": 1
  }
}