Pith Number

pith:DH5TCIT2

pith:2012:DH5TCIT2UKQKNGPOLYQTPLKKSG

not attested not anchored not stored refs pending

A variational characterization of $J$-holomorphic curves in symplectic manifolds

Claudio Arezzo, Jun Sun

arxiv:1211.7016 v3 · 2012-11-29 · 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{DH5TCIT2UKQKNGPOLYQTPLKKSG}

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	2026-05-18T02:25:05.404026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19fb31227aa2a0a699ee5e2137ad4a91883eff2b07d223231432c81475bf83a6

Aliases

arxiv: 1211.7016 · arxiv_version: 1211.7016v3 · doi: 10.48550/arxiv.1211.7016 · pith_short_12: DH5TCIT2UKQK · pith_short_16: DH5TCIT2UKQKNGPO · pith_short_8: DH5TCIT2

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/DH5TCIT2UKQKNGPOLYQTPLKKSG \
  | 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: 19fb31227aa2a0a699ee5e2137ad4a91883eff2b07d223231432c81475bf83a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8942abd2bae50a35e7afe8793daa16c5ab92f93e8963eec5436639aa2b272c96",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-29T18:39:56Z",
    "title_canon_sha256": "d0ca4a1426aeb62c7acc0f1fc1e9bc4ae66eb0f4daadc0f3f6dd2e32a0b6e639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7016",
    "kind": "arxiv",
    "version": 3
  }
}