Pith Number

pith:5XTR2KZ5

pith:2013:5XTR2KZ52TINTQPFK635LLD3ZM

not attested not anchored not stored refs pending

Gradient estimates for solutions of the Lam\'{e} system with partially infinite coefficients

Haigang Li, Jiguang Bao, Yanyan Li

arxiv:1311.1278 v2 · 2013-11-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XTR2KZ52TINTQPFK635LLD3ZM}

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	2026-05-18T01:46:38.468946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede71d2b3dd4d0d9c1e557b7d5ac7bcb2755142b026856bc05d62e571be3e2fa

Aliases

arxiv: 1311.1278 · arxiv_version: 1311.1278v2 · doi: 10.48550/arxiv.1311.1278 · pith_short_12: 5XTR2KZ52TIN · pith_short_16: 5XTR2KZ52TINTQPF · pith_short_8: 5XTR2KZ5

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/5XTR2KZ52TINTQPFK635LLD3ZM \
  | 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: ede71d2b3dd4d0d9c1e557b7d5ac7bcb2755142b026856bc05d62e571be3e2fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1871d1c7ae5b0de9fa058ed2c2ffae41c1c264a2170a301fac73da8685727bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-06T03:15:11Z",
    "title_canon_sha256": "4ef93a7aebbc5564e494377e32838786a59f1d24dfe96e97c0a45eae2980c272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1278",
    "kind": "arxiv",
    "version": 2
  }
}