Pith Number

pith:2XAFA6NS

pith:2010:2XAFA6NSVGUUAGN6GNKNB4VG3P

not attested not anchored not stored refs pending

Smooth Contractive Embeddings and Application to Feynman Formula for Parabolic Equations on Smooth Bounded Domains

Benedict Baur, Florian Conrad, Martin Grothaus

arxiv:1012.1239 v1 · 2010-12-06 · math.FA · math-ph · math.AP · 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{2XAFA6NSVGUUAGN6GNKNB4VG3P}

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	2026-05-18T04:06:46.264006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c05079b2a9a94019be3354d0f2a6dbc19147dc84661f901efdb7e8ade8d331

Aliases

arxiv: 1012.1239 · arxiv_version: 1012.1239v1 · doi: 10.48550/arxiv.1012.1239 · pith_short_12: 2XAFA6NSVGUU · pith_short_16: 2XAFA6NSVGUUAGN6 · pith_short_8: 2XAFA6NS

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/2XAFA6NSVGUUAGN6GNKNB4VG3P \
  | 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: d5c05079b2a9a94019be3354d0f2a6dbc19147dc84661f901efdb7e8ade8d331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dc73e93997da6614ca04945c6c061641c5d84129e1beecde6078cb5f83749d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-12-06T16:46:17Z",
    "title_canon_sha256": "ca108ab9a1f994ca2596d6ef1e72b4ee8ecd1a7d649d9f2d359359a115ae137d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1239",
    "kind": "arxiv",
    "version": 1
  }
}