Pith Number

pith:N7UZLI2K

pith:2026:N7UZLI2KMLURRV5STKHDYMNOPG

not attested not anchored not stored refs pending

Symmetric 2-rigs: coexponentiability and cartesian closure

Marcelo Fiore, Mathieu Anel, Nicola Gambino

arxiv:2607.12683 v1 · 2026-07-14 · 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{N7UZLI2KMLURRV5STKHDYMNOPG}

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	2026-07-15T01:22:11.975396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fe995a34a62e918d7b29a8e3c31ae79a4765067a54ea58d4c32941584f11a8e

Aliases

arxiv: 2607.12683 · arxiv_version: 2607.12683v1 · doi: 10.48550/arxiv.2607.12683 · pith_short_12: N7UZLI2KMLUR · pith_short_16: N7UZLI2KMLURRV5S · pith_short_8: N7UZLI2K

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/N7UZLI2KMLURRV5STKHDYMNOPG \
  | 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: 6fe995a34a62e918d7b29a8e3c31ae79a4765067a54ea58d4c32941584f11a8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2edf97186591134d489f66aa71dc43f11a9653a4909176f9f3ac02f3098eed83",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-07-14T12:10:28Z",
    "title_canon_sha256": "9055663d023e396d96350f1f3d169877d0f6fb6988ed6d558846fe19569ceffb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12683",
    "kind": "arxiv",
    "version": 1
  }
}