Pith Number

pith:WKBSFO5P

pith:2025:WKBSFO5PCVN5PICVCDSS7TJDND

not attested not anchored not stored refs pending

On a (terminally connected, pro-etale) factorization of geometric morphisms

Axel Osmond, Olivia Caramello

arxiv:2502.04213 v1 · 2025-02-06 · 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{WKBSFO5PCVN5PICVCDSS7TJDND}

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	2026-07-05T10:10:35.318130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28322bbaf155bd7a05510e52fcd2368cc6104efd2339621125071d864b25728

Aliases

arxiv: 2502.04213 · arxiv_version: 2502.04213v1 · doi: 10.48550/arxiv.2502.04213 · pith_short_12: WKBSFO5PCVN5 · pith_short_16: WKBSFO5PCVN5PICV · pith_short_8: WKBSFO5P

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/WKBSFO5PCVN5PICVCDSS7TJDND \
  | 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: b28322bbaf155bd7a05510e52fcd2368cc6104efd2339621125071d864b25728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcae27b921d550f1dddcf9117268f2c83f6293d406593f3cd99b6c80e39d4f9d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-02-06T16:54:29Z",
    "title_canon_sha256": "79fdab8c8e69d3e93e9e4de916147f6f370f85283b236e9c2558fbab6c675ca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04213",
    "kind": "arxiv",
    "version": 1
  }
}