Pith Number

pith:V3EEKRA4

pith:2005:V3EEKRA4NPUYSRS6ED5KDHOAOZ

not attested not anchored not stored refs pending

Heat and Poisson semigroups for Fourier-Neumann expansions

J. J. Betancor, J. L. Torrea, J. L. Varona, M. P\'erez, O. Ciaurri, T. Mart\'inez

arxiv:math/0511096 v1 · 2005-11-04 · 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{V3EEKRA4NPUYSRS6ED5KDHOAOZ}

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	2026-05-18T01:08:50.795528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec845441c6be989465e20faa19dc076766555d7629f44fa0607e2063505584a

Aliases

arxiv: math/0511096 · arxiv_version: math/0511096v1 · doi: 10.48550/arxiv.math/0511096 · pith_short_12: V3EEKRA4NPUY · pith_short_16: V3EEKRA4NPUYSRS6 · pith_short_8: V3EEKRA4

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/V3EEKRA4NPUYSRS6ED5KDHOAOZ \
  | 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: aec845441c6be989465e20faa19dc076766555d7629f44fa0607e2063505584a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522beedb8955ebb93c52a263e9daa2feaa62dbaf96c7624314c971bcd1a4f9cd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2005-11-04T00:31:44Z",
    "title_canon_sha256": "7b1a18399b2502271e2bb1467196c4a4dc9b83b517d4951bba140673f5a0d5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511096",
    "kind": "arxiv",
    "version": 1
  }
}