Pith Number

pith:CLXA6BVO

pith:2013:CLXA6BVOLCPY2PM7DNTCLA6T5G

not attested not anchored not stored refs pending

On W_2 lifting of Frobenius of Algebraic Surfaces

He Xin

arxiv:1309.0592 v1 · 2013-09-03 · 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{CLXA6BVOLCPY2PM7DNTCLA6T5G}

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	2026-05-18T03:14:18.648871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12ee0f06ae589f8d3d9f1b662583d3e9a4b9497a6a6b53cdd56beb75c3a02e9b

Aliases

arxiv: 1309.0592 · arxiv_version: 1309.0592v1 · doi: 10.48550/arxiv.1309.0592 · pith_short_12: CLXA6BVOLCPY · pith_short_16: CLXA6BVOLCPY2PM7 · pith_short_8: CLXA6BVO

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/CLXA6BVOLCPY2PM7DNTCLA6T5G \
  | 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: 12ee0f06ae589f8d3d9f1b662583d3e9a4b9497a6a6b53cdd56beb75c3a02e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e35dd627232bf4784061c364d2657c05dbd76ea40ced79d38a08cfbb93b8cd98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-03T06:18:35Z",
    "title_canon_sha256": "c5a3f5ce1ec318359a6ee64d511e0d3a99109720cbc6e4ce523812d2356c7752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0592",
    "kind": "arxiv",
    "version": 1
  }
}