Pith Number

pith:32VSITLG

pith:2011:32VSITLGL2A4STFWYDQWJXY6ZU

not attested not anchored not stored refs pending

On a system involving a critically growing nonlinearity

Antonio Azzollini, Pietro d'Avenia

arxiv:1108.0637 v1 · 2011-08-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32VSITLGL2A4STFWYDQWJXY6ZU}

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	2026-05-18T04:16:23.752587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deab244d665e81c94cb6c0e164df1ecd2ec8f06977e1f5f93b24cf86ec81903d

Aliases

arxiv: 1108.0637 · arxiv_version: 1108.0637v1 · doi: 10.48550/arxiv.1108.0637 · pith_short_12: 32VSITLGL2A4 · pith_short_16: 32VSITLGL2A4STFW · pith_short_8: 32VSITLG

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/32VSITLGL2A4STFWYDQWJXY6ZU \
  | 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: deab244d665e81c94cb6c0e164df1ecd2ec8f06977e1f5f93b24cf86ec81903d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3185a28293e4c290c6d963b4676e2de5f3b73007a880af07bbe9f73541be294d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-02T18:39:22Z",
    "title_canon_sha256": "9fa11914cdff3f27ef4b60b7109051ccdf7f4b6bba4159899a3529a92749a129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0637",
    "kind": "arxiv",
    "version": 1
  }
}