Pith Number

pith:D2NWHPYP

pith:2013:D2NWHPYP2L74PIPHDMP5RA67JO

not attested not anchored not stored refs pending

On quasi-periodic solutions of the discrete Chen-Lee-Liu hierarchy

Xianguo Geng, Xin Zeng

arxiv:1304.1607 v2 · 2013-04-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2NWHPYP2L74PIPHDMP5RA67JO}

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	2026-05-18T03:27:53.741332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e9b63bf0fd2ffc7a1e71b1fd883df4bada0de555788cf455cb0ee0e43766105

Aliases

arxiv: 1304.1607 · arxiv_version: 1304.1607v2 · doi: 10.48550/arxiv.1304.1607 · pith_short_12: D2NWHPYP2L74 · pith_short_16: D2NWHPYP2L74PIPH · pith_short_8: D2NWHPYP

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/D2NWHPYP2L74PIPHDMP5RA67JO \
  | 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: 1e9b63bf0fd2ffc7a1e71b1fd883df4bada0de555788cf455cb0ee0e43766105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076a03855ddb4d76ad0cbebb473215e0e7980c6280a32b70bdef6eb760d5b012",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-05T03:35:26Z",
    "title_canon_sha256": "21c5a850767432ec229f915dc05e9149a4f8c6c47e803192212d458eb3aea0b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1607",
    "kind": "arxiv",
    "version": 2
  }
}