pith. sign in
Pith Number

pith:HC2BY5WW

pith:2017:HC2BY5WW65H5F7NCEBB5KCZZH2
not attested not anchored not stored refs pending

Fractional Volterra Hierarchy

Chunhui Zhou, Si-Qi Liu, Youjin Zhang

arxiv:1702.02840 v1 · 2017-02-09 · nlin.SI · math-ph · math.AG · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HC2BY5WW65H5F7NCEBB5KCZZH2}

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 2026-05-18T00:32:13.804544Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

38b41c76d6f74fd2fda22043d50b393eb902bd10d5a4e02f563e90bd78a564ab

Aliases

arxiv: 1702.02840 · arxiv_version: 1702.02840v1 · doi: 10.48550/arxiv.1702.02840 · pith_short_12: HC2BY5WW65H5 · pith_short_16: HC2BY5WW65H5F7NC · pith_short_8: HC2BY5WW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HC2BY5WW65H5F7NCEBB5KCZZH2 \
  | 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: 38b41c76d6f74fd2fda22043d50b393eb902bd10d5a4e02f563e90bd78a564ab
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "db89cf50d96b6f7f6030c63286a9edef480426fa294704b4a6be4d9fd4c4b686",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2017-02-09T14:14:59Z",
    "title_canon_sha256": "e850a494cf0dbb1f0ae00a76cb91c7c60a2de77a3fdd278d2f3745415316bd22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02840",
    "kind": "arxiv",
    "version": 1
  }
}