Pith Number

pith:F7SUALYT

pith:2015:F7SUALYTAY5JTLXNL4XQ4C6BA2

not attested not anchored not stored refs pending

Tangency bifurcation of invariant manifolds in a slow-fast system

Ian Lizarraga

arxiv:1512.04641 v1 · 2015-12-15 · 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{F7SUALYTAY5JTLXNL4XQ4C6BA2}

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	2026-05-18T01:24:19.738657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fe5402f13063a99aeed5f2f0e0bc106813b7baf0ca947ba62edb30f5752528f

Aliases

arxiv: 1512.04641 · arxiv_version: 1512.04641v1 · doi: 10.48550/arxiv.1512.04641 · pith_short_12: F7SUALYTAY5J · pith_short_16: F7SUALYTAY5JTLXN · pith_short_8: F7SUALYT

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/F7SUALYTAY5JTLXNL4XQ4C6BA2 \
  | 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: 2fe5402f13063a99aeed5f2f0e0bc106813b7baf0ca947ba62edb30f5752528f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f95a22b51056a131eca608a809665b38d211c2d03698ffc021dd60cc18d311cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-12-15T04:20:12Z",
    "title_canon_sha256": "043570456cafa9f765bf3005580d397b91100166ee387d14eeedd2b584eee54e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04641",
    "kind": "arxiv",
    "version": 1
  }
}