Pith Number

pith:63MOAD3L

pith:2006:63MOAD3L3BXR33QJ4BUWAIHOWI

not attested not anchored not stored refs pending

Elliptic functions, Green functions and the mean field equations on tori

Chang-shou Lin, Chin-Lung Wang

arxiv:math/0608358 v2 · 2006-08-14 · math.AP · 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{63MOAD3L3BXR33QJ4BUWAIHOWI}

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	2026-05-18T04:11:18.316004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d8e00f6bd86f1dee09e0696020eeb2342e94ad0818dbd40731c5ebc24e2138

Aliases

arxiv: math/0608358 · arxiv_version: math/0608358v2 · doi: 10.48550/arxiv.math/0608358 · pith_short_12: 63MOAD3L3BXR · pith_short_16: 63MOAD3L3BXR33QJ · pith_short_8: 63MOAD3L

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/63MOAD3L3BXR33QJ4BUWAIHOWI \
  | 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: f6d8e00f6bd86f1dee09e0696020eeb2342e94ad0818dbd40731c5ebc24e2138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71a5f42a8cc7183d9ce1c1e27e27d48cf0c366e7cde65ef782e201ef1c69316d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2006-08-14T16:59:29Z",
    "title_canon_sha256": "6ef7ffd94cd6b517252964b50eded335125d080da76023457e8a6db49e4c1923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608358",
    "kind": "arxiv",
    "version": 2
  }
}