Pith Number

pith:5H6ES2QS

pith:2010:5H6ES2QSBWK46AXSPO2AXFCWGY

not attested not anchored not stored refs pending

Local energy decay for several evolution equations on asymptotically euclidean manifolds

Dietrich Hafner, Jean-Francois Bony

arxiv:1008.2357 v1 · 2010-08-13 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5H6ES2QSBWK46AXSPO2AXFCWGY}

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	2026-05-18T04:42:14.139796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9fc496a120d95cf02f27bb40b9456363d72f0e4b557a4c1f1f4b53630e74973

Aliases

arxiv: 1008.2357 · arxiv_version: 1008.2357v1 · doi: 10.48550/arxiv.1008.2357 · pith_short_12: 5H6ES2QSBWK4 · pith_short_16: 5H6ES2QSBWK46AXS · pith_short_8: 5H6ES2QS

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/5H6ES2QSBWK46AXSPO2AXFCWGY \
  | 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: e9fc496a120d95cf02f27bb40b9456363d72f0e4b557a4c1f1f4b53630e74973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a497f9014cb69348b57eb0695f12e4ca5ed1b684ba799b914afec57aec4e6197",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-13T17:20:38Z",
    "title_canon_sha256": "d54e6214f2e48856d068c9e2948b02ba110c0b1331e0e2c2c2c7805e2e841c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2357",
    "kind": "arxiv",
    "version": 1
  }
}