Pith Number

pith:RDU6KDPY

pith:2026:RDU6KDPYJFZZZKSUJSQONLHMVZ

not attested not anchored not stored refs pending

Projective covers, doctrines of algebras and the relational quotient completion

Fabio Pasquali, Francesco Dagnino

arxiv:2608.01915 v1 · 2026-08-03 · 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{RDU6KDPYJFZZZKSUJSQONLHMVZ}

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	2026-08-04T02:07:37.632948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88e9e50df849739caa544ca0e6acecae4de353d65f474047364ce1d9f9b2af91

Aliases

arxiv: 2608.01915 · arxiv_version: 2608.01915v1 · doi: 10.48550/arxiv.2608.01915 · pith_short_12: RDU6KDPYJFZZ · pith_short_16: RDU6KDPYJFZZZKSU · pith_short_8: RDU6KDPY

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/RDU6KDPYJFZZZKSUJSQONLHMVZ \
  | 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: 88e9e50df849739caa544ca0e6acecae4de353d65f474047364ce1d9f9b2af91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1631de06f02437b70311c7203aa6f0f0d85a0830c58a09edaff9f6de55c1a50",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-08-03T08:48:11Z",
    "title_canon_sha256": "5757b401ea6294fe39663b028a79145b1f4c9be4cf2b6292c44bc0223fe18d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01915",
    "kind": "arxiv",
    "version": 1
  }
}