Pith Number

pith:2G34BW27

pith:2014:2G34BW27W46YTTEVVUCQDZKLLY

not attested not anchored not stored refs pending

Principal bundles as Frobenius adjunctions with application to geometric morphisms

Christopher Townsend

arxiv:1403.4183 v1 · 2014-03-17 · 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{2G34BW27W46YTTEVVUCQDZKLLY}

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	2026-05-18T01:29:11.532248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b7c0db5fb73d89cc95ad0501e54b5e15aff5f5c933c03757687ae647886bf8

Aliases

arxiv: 1403.4183 · arxiv_version: 1403.4183v1 · doi: 10.48550/arxiv.1403.4183 · pith_short_12: 2G34BW27W46Y · pith_short_16: 2G34BW27W46YTTEV · pith_short_8: 2G34BW27

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/2G34BW27W46YTTEVVUCQDZKLLY \
  | 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: d1b7c0db5fb73d89cc95ad0501e54b5e15aff5f5c933c03757687ae647886bf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62befc98099d9e510090ff0558ca2f9ce4cd49c7c7891adbf8c6416143e6daac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-03-17T17:47:26Z",
    "title_canon_sha256": "b3a85bd38f448e18b68497d01ef7e0b0fc8b3a0e2dcb217c4e57615322de53bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4183",
    "kind": "arxiv",
    "version": 1
  }
}