Pith Number

pith:G6WYGU3B

pith:2016:G6WYGU3BMB7OMTVMM4BK4FOSNC

not attested not anchored not stored refs pending

A bifibrational reconstruction of Lawvere's presheaf hyperdoctrine

Noam Zeilberger, Paul-Andr\'e Melli\`es

arxiv:1601.06098 v2 · 2016-01-22 · cs.LO · math.CT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6WYGU3BMB7OMTVMM4BK4FOSNC}

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	2026-05-18T01:09:11.802772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ad835361607ee64eac6702ae15d268b9d6c7d051e7d68c3ff85de5dbe4a465

Aliases

arxiv: 1601.06098 · arxiv_version: 1601.06098v2 · doi: 10.48550/arxiv.1601.06098 · pith_short_12: G6WYGU3BMB7O · pith_short_16: G6WYGU3BMB7OMTVM · pith_short_8: G6WYGU3B

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/G6WYGU3BMB7OMTVMM4BK4FOSNC \
  | 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: 37ad835361607ee64eac6702ae15d268b9d6c7d051e7d68c3ff85de5dbe4a465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed6f364d48f8a64cabddd1178e37dcec2ee79c79a5a0c60d396c82f0b08fc98b",
    "cross_cats_sorted": [
      "math.CT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-01-22T18:39:48Z",
    "title_canon_sha256": "92273b4420275411669f425abc751eecc27a651a0bbe4c653bff1ed63e566149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06098",
    "kind": "arxiv",
    "version": 2
  }
}