Pith Number

pith:I4V4Z3HG

pith:2016:I4V4Z3HG3N7OEJT4RKL6CIRZQP

not attested not anchored not stored refs pending

Heat kernel estimates and the relative compactness of perturbations by potentials

Batu G\"uneysu, Jochen Br\"uning

arxiv:1606.00651 v1 · 2016-06-02 · math.SP · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4V4Z3HG3N7OEJT4RKL6CIRZQP}

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	2026-05-18T01:13:03.978466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472bccece6db7ee2267c8a97e1223983cd72444cb0af3b615098388af7933987

Aliases

arxiv: 1606.00651 · arxiv_version: 1606.00651v1 · doi: 10.48550/arxiv.1606.00651 · pith_short_12: I4V4Z3HG3N7O · pith_short_16: I4V4Z3HG3N7OEJT4 · pith_short_8: I4V4Z3HG

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/I4V4Z3HG3N7OEJT4RKL6CIRZQP \
  | 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: 472bccece6db7ee2267c8a97e1223983cd72444cb0af3b615098388af7933987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad843dee89cc7ba5344c94095e1152a19fa3ee9b627008c2b944f29f48fdc582",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-06-02T12:36:42Z",
    "title_canon_sha256": "a5dabcd71ca0cb465c6b9229bc9f5fba7ae671f77c6e8ef86c9a88c1b42a01f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00651",
    "kind": "arxiv",
    "version": 1
  }
}