Pith Number

pith:IJ34C657

pith:2010:IJ34C657MPUBJUCNSJ2AWZMCGL

not attested not anchored not stored refs pending

On Ulam stability

Andreas Thom, Marc Burger, Narutaka Ozawa

arxiv:1010.0565 v1 · 2010-10-04 · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJ34C657MPUBJUCNSJ2AWZMCGL}

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	2026-05-18T04:39:51.805413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4277c17bbf63e814d04d92740b658232e083fa0c42979e574619734bed4714e2

Aliases

arxiv: 1010.0565 · arxiv_version: 1010.0565v1 · doi: 10.48550/arxiv.1010.0565 · pith_short_12: IJ34C657MPUB · pith_short_16: IJ34C657MPUBJUCN · pith_short_8: IJ34C657

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/IJ34C657MPUBJUCNSJ2AWZMCGL \
  | 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: 4277c17bbf63e814d04d92740b658232e083fa0c42979e574619734bed4714e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c8c9711a2c32219828c5adaf1ca0d0af5a763cef208e14ccd4007beaafa083",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-04T12:34:53Z",
    "title_canon_sha256": "60485140cb45acc554acb4b3329e3fd94bf7fb498a31020f80fdb9efdf10772f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0565",
    "kind": "arxiv",
    "version": 1
  }
}