Pith Number

pith:53727NCE

pith:2009:53727NCE4LXSWHCINESDYNJ2QN

not attested not anchored not stored refs pending

Numerical studies on the self-similar collapse of the alpha-patches problem

Ana M. Mancho

arxiv:0902.0706 v3 · 2009-02-04 · math.AP · 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{53727NCE4LXSWHCINESDYNJ2QN}

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	2026-05-18T02:25:12.416635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeffafb444e2ef2b1c4869243c353a837e09b9a4542a173e2da8dcf4cc731e76

Aliases

arxiv: 0902.0706 · arxiv_version: 0902.0706v3 · doi: 10.48550/arxiv.0902.0706 · pith_short_12: 53727NCE4LXS · pith_short_16: 53727NCE4LXSWHCI · pith_short_8: 53727NCE

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/53727NCE4LXSWHCINESDYNJ2QN \
  | 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: eeffafb444e2ef2b1c4869243c353a837e09b9a4542a173e2da8dcf4cc731e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc66e5a57d62185b8bd5eb9eb823f3b9731c5df61b8c62f4f776861fbff43e1c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-02-04T12:00:37Z",
    "title_canon_sha256": "a380df43d55a9328e6a3ddb8bf23f535efcbdd810020bf669c151993232d841e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0706",
    "kind": "arxiv",
    "version": 3
  }
}