Pith Number

pith:ETWRJABV

pith:2024:ETWRJABV4VEJA2FTVEQ2OHUVO6

not attested not anchored not stored refs pending

On a fibrational construction for optics, lenses, and Dialectica categories

Abdullah Malik, Bruno Gavranovi\'c, Francisco Rios, Jonathan Weinberger, Matteo Capucci

arxiv:2403.16388 v5 · 2024-03-25 · math.CT · cs.IT · cs.LO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETWRJABV4VEJA2FTVEQ2OHUVO6}

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	2026-07-05T09:50:30.613199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24ed148035e5489068b3a921a71e9577a7ecac4e76fead230a5ce3fe03284d97

Aliases

arxiv: 2403.16388 · arxiv_version: 2403.16388v5 · doi: 10.48550/arxiv.2403.16388 · pith_short_12: ETWRJABV4VEJ · pith_short_16: ETWRJABV4VEJA2FT · pith_short_8: ETWRJABV

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/ETWRJABV4VEJA2FTVEQ2OHUVO6 \
  | 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: 24ed148035e5489068b3a921a71e9577a7ecac4e76fead230a5ce3fe03284d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4a2342dbfb716f9dd3e2d76f8ca046e95d37687967420c58709090cb5c83429",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-03-25T03:06:54Z",
    "title_canon_sha256": "81cf44e13229e8ebb5be9ec8bbc15ecaf2eb1fb9bb537166fca7d12bbdc91b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.16388",
    "kind": "arxiv",
    "version": 5
  }
}