Pith Number

pith:VFOX2U2O

pith:2007:VFOX2U2O7JIXN3NINSMMHSDLEB

not attested not anchored not stored refs pending

Local smoothing for scattering manifolds with hyperbolic trapped sets

Kiril Datchev

arxiv:0712.3237 v3 · 2007-12-19 · 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{VFOX2U2O7JIXN3NINSMMHSDLEB}

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	2026-05-18T03:54:16.874948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a95d7d534efa5176eda86c98c3c86b2063b1f74fb02728ea47764bb40941547b

Aliases

arxiv: 0712.3237 · arxiv_version: 0712.3237v3 · doi: 10.48550/arxiv.0712.3237 · pith_short_12: VFOX2U2O7JIX · pith_short_16: VFOX2U2O7JIXN3NI · pith_short_8: VFOX2U2O

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/VFOX2U2O7JIXN3NINSMMHSDLEB \
  | 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: a95d7d534efa5176eda86c98c3c86b2063b1f74fb02728ea47764bb40941547b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6091cbfccbcfa034c996f5b857ad605bf3e3744df6bf66dc2883f171a002e8a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2007-12-19T17:18:13Z",
    "title_canon_sha256": "8eca77c9143f9f9199d51bed1648c097ff750bf60d69f1582ef71ecc5c05663c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3237",
    "kind": "arxiv",
    "version": 3
  }
}