Pith Number

pith:CK2FZFQT

pith:2016:CK2FZFQTXCMTL3G4P7HYUT3BRE

not attested not anchored not stored refs pending

Torsion-free rank one sheaves over del Pezzo orders

Fabian Reede, Norbert Hoffmann

arxiv:1603.03324 v1 · 2016-03-10 · 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{CK2FZFQTXCMTL3G4P7HYUT3BRE}

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	2026-05-18T01:19:16.602827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b45c9613b89935ecdc7fcf8a4f61891ee4a801ab58e91c89f1aca90f523aa1

Aliases

arxiv: 1603.03324 · arxiv_version: 1603.03324v1 · doi: 10.48550/arxiv.1603.03324 · pith_short_12: CK2FZFQTXCMT · pith_short_16: CK2FZFQTXCMTL3G4 · pith_short_8: CK2FZFQT

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/CK2FZFQTXCMTL3G4P7HYUT3BRE \
  | 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: 12b45c9613b89935ecdc7fcf8a4f61891ee4a801ab58e91c89f1aca90f523aa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e497315648defbc7e6864fc102cc1c4f2ebc1027298557e7acfa3c639ec8da69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-10T16:37:04Z",
    "title_canon_sha256": "8f069914ee3974ead4d0f7a168d89ff518b55e27633a45476f953f1ce1f004a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03324",
    "kind": "arxiv",
    "version": 1
  }
}