Pith Number

pith:Q5KQJLXY

pith:2012:Q5KQJLXYXOMSDQCX5HJCJH2NRH

not attested not anchored not stored refs pending

The J-flow on Kahler surfaces: a boundary case

Ben Weinkove, Hao Fang, Jian Song, Mijia Lai

arxiv:1204.4068 v2 · 2012-04-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5KQJLXYXOMSDQCX5HJCJH2NRH}

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	2026-05-18T01:22:26.704587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875504aef8bb9921c057e9d2249f4d89de73bc4a6ea0e548c8df4db7158da799

Aliases

arxiv: 1204.4068 · arxiv_version: 1204.4068v2 · doi: 10.48550/arxiv.1204.4068 · pith_short_12: Q5KQJLXYXOMS · pith_short_16: Q5KQJLXYXOMSDQCX · pith_short_8: Q5KQJLXY

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/Q5KQJLXYXOMSDQCX5HJCJH2NRH \
  | 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: 875504aef8bb9921c057e9d2249f4d89de73bc4a6ea0e548c8df4db7158da799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "242fde13c9f8fd5e66cace984d88704f6f5f9169b38d023915bcfce39fd194a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-18T12:30:34Z",
    "title_canon_sha256": "84e05ec9fc73027238ab657baefa0d21efea8ca39c551bfdf798390b3161f56e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4068",
    "kind": "arxiv",
    "version": 2
  }
}