Pith Number

pith:QNQKG2G7

pith:2005:QNQKG2G7XON3NNGWM6ZTNMGQ76

not attested not anchored not stored refs pending

Dynamics, Laplace transform and Spectral geometry

Dan Burghelea, Stefan Haller

arxiv:math/0508216 v1 · 2005-08-12 · math.DG · 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{QNQKG2G7XON3NNGWM6ZTNMGQ76}

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	2026-05-18T01:55:43.714826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8360a368dfbb9bb6b4d667b336b0d0ff8db217cef46c7ff21764d859c1f498f0

Aliases

arxiv: math/0508216 · arxiv_version: math/0508216v1 · doi: 10.48550/arxiv.math/0508216 · pith_short_12: QNQKG2G7XON3 · pith_short_16: QNQKG2G7XON3NNGW · pith_short_8: QNQKG2G7

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/QNQKG2G7XON3NNGWM6ZTNMGQ76 \
  | 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: 8360a368dfbb9bb6b4d667b336b0d0ff8db217cef46c7ff21764d859c1f498f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d36f1de56b17464e472e6ea7cef6b23fa624cc676a8bd22f6ff3d8a0e339d59",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-08-12T14:05:12Z",
    "title_canon_sha256": "2a3c20f345192869a2932af4d25c14ee25e1292fdd2026179c932b7fb60bf331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508216",
    "kind": "arxiv",
    "version": 1
  }
}