Pith Number

pith:J7HVRPHH

pith:2011:J7HVRPHH7SATQLCXGJ247M7DOX

not attested not anchored not stored refs pending

Accelerating cycle expansions by dynamical conjugacy

Ang Gao, Jianbo Xie, Yueheng Lan

arxiv:1106.1045 v2 · 2011-06-06 · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7HVRPHH7SATQLCXGJ247M7DOX}

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	2026-05-18T02:01:41.818568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fcf58bce7fc81382c573275cfb3e375d9bcee6b3d65676ea3d51ad4f71c7800

Aliases

arxiv: 1106.1045 · arxiv_version: 1106.1045v2 · doi: 10.48550/arxiv.1106.1045 · pith_short_12: J7HVRPHH7SAT · pith_short_16: J7HVRPHH7SATQLCX · pith_short_8: J7HVRPHH

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/J7HVRPHH7SATQLCXGJ247M7DOX \
  | 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: 4fcf58bce7fc81382c573275cfb3e375d9bcee6b3d65676ea3d51ad4f71c7800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c480c33cf38caa73ccd0aaade277b9cc7d0492a8de39f5c0f11b7b3e6ed236",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-06-06T12:29:24Z",
    "title_canon_sha256": "c485103b10015ff3cb9ab71fe9a5df2554494173220756f93fa7206831538e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1045",
    "kind": "arxiv",
    "version": 2
  }
}