Pith Number

pith:XVNULHUV

pith:2013:XVNULHUVYBZI32PXARTHB32MX7

not attested not anchored not stored refs pending

A functorial formalism for quasi-coherent sheaves on a geometric stack

Ana Jeremias, Leovigildo Alonso, Maria J. Vale, Marta Perez

arxiv:1304.2520 v2 · 2013-04-09 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVNULHUVYBZI32PXARTHB32MX7}

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	2026-05-18T00:45:35.449364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd5b459e95c0728de9f7046670ef4cbfe8b722b21b53b19f64feb807fc5493e5

Aliases

arxiv: 1304.2520 · arxiv_version: 1304.2520v2 · doi: 10.48550/arxiv.1304.2520 · pith_short_12: XVNULHUVYBZI · pith_short_16: XVNULHUVYBZI32PX · pith_short_8: XVNULHUV

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/XVNULHUVYBZI32PXARTHB32MX7 \
  | 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: bd5b459e95c0728de9f7046670ef4cbfe8b722b21b53b19f64feb807fc5493e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3462e61b66007371ad12c4387920cd3dc08468c9f11750bc861f587719635d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-09T10:33:45Z",
    "title_canon_sha256": "7a75b45dd5f05f8a5704fee2fefe049c2917d046e2e09a2add5e9bf417426c05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2520",
    "kind": "arxiv",
    "version": 2
  }
}