Pith Number

pith:SZ7GR7ZQ

pith:2016:SZ7GR7ZQYUILLODKG3FKXKGJMZ

not attested not anchored not stored refs pending

Differential bundles and fibrations for tangent categories

G.S.H. Cruttwell, J.R.B. Cockett

arxiv:1606.08379 v2 · 2016-06-27 · math.CT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZ7GR7ZQYUILLODKG3FKXKGJMZ}

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	2026-05-18T00:49:04.563180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967e68ff30c510b5b86a36caaba8c9664cd8e0a697d8818d02bb137e40dd9297

Aliases

arxiv: 1606.08379 · arxiv_version: 1606.08379v2 · doi: 10.48550/arxiv.1606.08379 · pith_short_12: SZ7GR7ZQYUIL · pith_short_16: SZ7GR7ZQYUILLODK · pith_short_8: SZ7GR7ZQ

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/SZ7GR7ZQYUILLODKG3FKXKGJMZ \
  | 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: 967e68ff30c510b5b86a36caaba8c9664cd8e0a697d8818d02bb137e40dd9297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f4dd6f5aed17944e44a2ae206958063fdc8522d8d6ec5369db63735ced80082",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-06-27T17:38:44Z",
    "title_canon_sha256": "62d003be7d0971c3cfaa37711e3d0707897c8f519b4ec84f752b0949dd102e28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08379",
    "kind": "arxiv",
    "version": 2
  }
}