Pith Number

pith:JZ5SFHU5

pith:2015:JZ5SFHU5PDGQ465EBMG4RPVNGO

not attested not anchored not stored refs pending

Exponential decay of $J$-holomorphic maps with finite energy

An-Min Li, Li Sheng

arxiv:1507.05416 v2 · 2015-07-20 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZ5SFHU5PDGQ465EBMG4RPVNGO}

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	2026-05-18T01:36:25.315299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7b229e9d78cd0e7ba40b0dc8bead3384a207059017a600ad3cba65d59ace60

Aliases

arxiv: 1507.05416 · arxiv_version: 1507.05416v2 · doi: 10.48550/arxiv.1507.05416 · pith_short_12: JZ5SFHU5PDGQ · pith_short_16: JZ5SFHU5PDGQ465E · pith_short_8: JZ5SFHU5

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/JZ5SFHU5PDGQ465EBMG4RPVNGO \
  | 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: 4e7b229e9d78cd0e7ba40b0dc8bead3384a207059017a600ad3cba65d59ace60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68785ccb57a2c239f18f7dd6f0391592c325db0c32b9082ffefd9efc1e9b78f5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-07-20T08:38:03Z",
    "title_canon_sha256": "c545a253693aceb7eec719f1da8a83d15527bbe06a66bf846df3d0987a44a4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05416",
    "kind": "arxiv",
    "version": 2
  }
}