Pith Number

pith:KICAI6YK

pith:2012:KICAI6YKDFWSQCATRQARXPVN7H

not attested not anchored not stored refs pending

Bifurcation values for a family of planar vector fields of degree five

A. Gasull, H. Giacomini, J. D. Garc\'ia-Salda\~na

arxiv:1202.1919 v1 · 2012-02-09 · 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{KICAI6YKDFWSQCATRQARXPVN7H}

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	2026-05-18T04:02:38.747070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5204047b0a196d2808138c011bbeadf9d747b25d2a2fbf60018e742dd6ebbb37

Aliases

arxiv: 1202.1919 · arxiv_version: 1202.1919v1 · doi: 10.48550/arxiv.1202.1919 · pith_short_12: KICAI6YKDFWS · pith_short_16: KICAI6YKDFWSQCAT · pith_short_8: KICAI6YK

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/KICAI6YKDFWSQCATRQARXPVN7H \
  | 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: 5204047b0a196d2808138c011bbeadf9d747b25d2a2fbf60018e742dd6ebbb37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8399d702b6728c24005ebfc4119cc8d081dcc5cf4910b25f0b0a66284837aa94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-09T09:06:20Z",
    "title_canon_sha256": "4b64d161b5ff1e6cdd324b9f76f22a70c657ef15776515b39d3d3331f6454b72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1919",
    "kind": "arxiv",
    "version": 1
  }
}