Pith Number

pith:A4V4TJDA

pith:2012:A4V4TJDAD7G2WTAVRNNALTQC5Y

not attested not anchored not stored refs pending

Symplectic mean curvature flows in K\"ahler surfaces with positive holomorphic sectional curvatures

Jiayu Li, Liuqing Yang

arxiv:1207.5253 v1 · 2012-07-22 · 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{A4V4TJDAD7G2WTAVRNNALTQC5Y}

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	2026-05-18T03:50:24.073121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072bc9a4601fcdab4c158b5a05ce02ee2631fdf0eebd8151492b3dcb1355ada6

Aliases

arxiv: 1207.5253 · arxiv_version: 1207.5253v1 · doi: 10.48550/arxiv.1207.5253 · pith_short_12: A4V4TJDAD7G2 · pith_short_16: A4V4TJDAD7G2WTAV · pith_short_8: A4V4TJDA

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/A4V4TJDAD7G2WTAVRNNALTQC5Y \
  | 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: 072bc9a4601fcdab4c158b5a05ce02ee2631fdf0eebd8151492b3dcb1355ada6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b31428431f017f9bdc2425c4f1192f4743d79628ed2d29c4be9d556748a26ab1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-22T19:50:14Z",
    "title_canon_sha256": "3c1ef2cb36ad885153c52c90aa388cae5f8ba0f8a59ba95a4c41ebaeb4b29047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5253",
    "kind": "arxiv",
    "version": 1
  }
}