Pith Number

pith:AXRV37UR

pith:2012:AXRV37URBYB6UZIAJWN326KPXC

not attested not anchored not stored refs pending

Characterizing Serre quotients with no section functor and applications to coherent sheaves

Markus Lange-Hegermann, Mohamed Barakat

arxiv:1210.1425 v2 · 2012-10-04 · 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{AXRV37URBYB6UZIAJWN326KPXC}

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	2026-05-18T00:55:58.890296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05e35dfe910e03ea65004d9bbd794fb890c21f78dd753f8e03129bea5acb9f0b

Aliases

arxiv: 1210.1425 · arxiv_version: 1210.1425v2 · doi: 10.48550/arxiv.1210.1425 · pith_short_12: AXRV37URBYB6 · pith_short_16: AXRV37URBYB6UZIA · pith_short_8: AXRV37UR

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/AXRV37URBYB6UZIAJWN326KPXC \
  | 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: 05e35dfe910e03ea65004d9bbd794fb890c21f78dd753f8e03129bea5acb9f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d276687e7608f19b379e6deb19ca6dc614ee2d7f19e23e6799418451f8f848f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-10-04T12:55:15Z",
    "title_canon_sha256": "fd548a9d5580b91317db3d5ab23db51da51af4dedf97c6551aad3ac3bead668d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1425",
    "kind": "arxiv",
    "version": 2
  }
}