Pith Number

pith:77A5XGYT

pith:2011:77A5XGYTNEE222X5JHMEFXJLTP

not attested not anchored not stored refs pending

Convergence Rate of the Symmetrically Normalized Graph Laplacian

Laurent Jacques

arxiv:1101.1428 v1 · 2011-01-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77A5XGYTNEE222X5JHMEFXJLTP}

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	2026-05-18T04:31:52.841725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc1db9b136909ad6afd49d842dd2b9bec031152c6eb800e5e407cec699df657

Aliases

arxiv: 1101.1428 · arxiv_version: 1101.1428v1 · doi: 10.48550/arxiv.1101.1428 · pith_short_12: 77A5XGYTNEE2 · pith_short_16: 77A5XGYTNEE222X5 · pith_short_8: 77A5XGYT

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/77A5XGYTNEE222X5JHMEFXJLTP \
  | 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: ffc1db9b136909ad6afd49d842dd2b9bec031152c6eb800e5e407cec699df657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269c260e6858d1b955afe29c61d50af661a37461424561d92c00fab38091bb41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-01-07T13:13:51Z",
    "title_canon_sha256": "c998d279f78ead95825f7bfd882b0ed726f7efce90da6e075f679c32ca5a16ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1428",
    "kind": "arxiv",
    "version": 1
  }
}