Pith Number

pith:A47VM7Y4

pith:2010:A47VM7Y4UHJFZRUY72Q4DADU6O

not attested not anchored not stored refs pending

Small Random Perturbations of a Dynamical System with Blow-up

Pablo Groisman, Santiago Saglietti

arxiv:1011.3414 v1 · 2010-11-15 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A47VM7Y4UHJFZRUY72Q4DADU6O}

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	2026-05-18T02:29:45.898629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

073f567f1ca1d25cc698fea1c18074f3b9a9952ddc8ae1b3f59b4d4d8ddd1d32

Aliases

arxiv: 1011.3414 · arxiv_version: 1011.3414v1 · doi: 10.48550/arxiv.1011.3414 · pith_short_12: A47VM7Y4UHJF · pith_short_16: A47VM7Y4UHJFZRUY · pith_short_8: A47VM7Y4

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/A47VM7Y4UHJFZRUY72Q4DADU6O \
  | 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: 073f567f1ca1d25cc698fea1c18074f3b9a9952ddc8ae1b3f59b4d4d8ddd1d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d65c8aec94f1aebe1e359ab574332bc5f78cc5be22d10cd609368e9dc1c0e975",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-15T15:11:08Z",
    "title_canon_sha256": "5368bf4ebe03df99e9ad47894ff08636c8394a28694ad6c969badd2442ee349d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3414",
    "kind": "arxiv",
    "version": 1
  }
}