Pith Number

pith:3WYLWRGD

pith:2012:3WYLWRGDREEAJF3X6CF3GIY3AH

not attested not anchored not stored refs pending

Exponentially small heteroclinic breakdown in the generic Hopf-zero singularity

I. Baldom\'a, O. Castej\'on, T. M. Seara

arxiv:1202.1179 v1 · 2012-02-06 · 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{3WYLWRGDREEAJF3X6CF3GIY3AH}

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	2026-05-18T01:58:33.415208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb0bb44c38908049777f08bb3231b01d9da82b621c656d46235b27b47fa233f

Aliases

arxiv: 1202.1179 · arxiv_version: 1202.1179v1 · doi: 10.48550/arxiv.1202.1179 · pith_short_12: 3WYLWRGDREEA · pith_short_16: 3WYLWRGDREEAJF3X · pith_short_8: 3WYLWRGD

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/3WYLWRGDREEAJF3X6CF3GIY3AH \
  | 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: ddb0bb44c38908049777f08bb3231b01d9da82b621c656d46235b27b47fa233f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e58b1b64985a311668f51bea4cf146a0b3165886aefec33ca04116b54710a54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-06T15:49:07Z",
    "title_canon_sha256": "406691e5210b4fd0f3d4c191bc629610dca2c21dde72717481839a4d5eabc916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1179",
    "kind": "arxiv",
    "version": 1
  }
}