Pith Number

pith:PGSVVFE5

pith:2019:PGSVVFE5RXVK6RS26ZEX3UTGFA

not attested not anchored not stored refs pending

A Fubini rule for $\infty$-coends

Fosco Loregian

arxiv:1902.06086 v1 · 2019-02-16 · 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{PGSVVFE5RXVK6RS26ZEX3UTGFA}

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	2026-05-17T23:53:46.621890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79a55a949d8deaaf465af6497dd26628052428440ef659f11b1e5f498994b1aa

Aliases

arxiv: 1902.06086 · arxiv_version: 1902.06086v1 · doi: 10.48550/arxiv.1902.06086 · pith_short_12: PGSVVFE5RXVK · pith_short_16: PGSVVFE5RXVK6RS2 · pith_short_8: PGSVVFE5

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/PGSVVFE5RXVK6RS26ZEX3UTGFA \
  | 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: 79a55a949d8deaaf465af6497dd26628052428440ef659f11b1e5f498994b1aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f066361614ec2a8cb94c7f4957c3eae4034c57c2b88715bf5596a41b6567c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-02-16T11:00:16Z",
    "title_canon_sha256": "5b4e90c7848a19648fbcf4590e606fd41ddbfbc431bf34f31388b9095b7b213c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06086",
    "kind": "arxiv",
    "version": 1
  }
}