Pith Number

pith:JOQX3ZTD

pith:2017:JOQX3ZTD6FBY5DOHHOI7Q45BAU

not attested not anchored not stored refs pending

Hilsum-Skandalis maps as Frobenius adjunctions with application to geometric morphisms

Christopher Townsend

arxiv:1703.10636 v1 · 2017-03-30 · 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{JOQX3ZTD6FBY5DOHHOI7Q45BAU}

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	2026-05-18T00:47:33.111499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba17de663f1438e8dc73b91f873a1051e8c12305bfb13c5b03ccdd60f805773

Aliases

arxiv: 1703.10636 · arxiv_version: 1703.10636v1 · doi: 10.48550/arxiv.1703.10636 · pith_short_12: JOQX3ZTD6FBY · pith_short_16: JOQX3ZTD6FBY5DOH · pith_short_8: JOQX3ZTD

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/JOQX3ZTD6FBY5DOHHOI7Q45BAU \
  | 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: 4ba17de663f1438e8dc73b91f873a1051e8c12305bfb13c5b03ccdd60f805773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93216dc281f2cbd9c52aa165e658b8a6bb4c4e1b6b761b2d3f0bf6d29d03596c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-03-30T18:49:05Z",
    "title_canon_sha256": "31740c6dde95835fad49bd11172bddd3fed3d0b0f7fc0ba226101bf9bb23458f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10636",
    "kind": "arxiv",
    "version": 1
  }
}