Pith Number

pith:7KIMAIYU

pith:2017:7KIMAIYUCXNB7FUHYIUG4PYCPK

not attested not anchored not stored refs pending

Bifurcation of heteroclinic orbits via an index theory

Alessandro Portaluri, Xijun Hu

arxiv:1704.06806 v1 · 2017-04-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KIMAIYUCXNB7FUHYIUG4PYCPK}

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	2026-05-18T00:45:55.747972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa90c0231415da1f9687c2286e3f027ab15e1de61da93ac23535c83a6a5446d3

Aliases

arxiv: 1704.06806 · arxiv_version: 1704.06806v1 · doi: 10.48550/arxiv.1704.06806 · pith_short_12: 7KIMAIYUCXNB · pith_short_16: 7KIMAIYUCXNB7FUH · pith_short_8: 7KIMAIYU

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/7KIMAIYUCXNB7FUHYIUG4PYCPK \
  | 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: fa90c0231415da1f9687c2286e3f027ab15e1de61da93ac23535c83a6a5446d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068d36ac076cb973e222d6aa1b187ab2896cf39ce9791e2642c9a56e1e4a6eb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-22T14:21:09Z",
    "title_canon_sha256": "f7ab186c63403662461cdfde8081d9a81eb2cdb192fc06ef3895160242e1b696"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06806",
    "kind": "arxiv",
    "version": 1
  }
}