Pith Number

pith:NDV5X7AX

pith:2012:NDV5X7AXHWVXY7LSYBPUDSOUUW

not attested not anchored not stored refs pending

Extension problem and fractional operators: semigroups and wave equations

J. E. Gal\'e, P. J. Miana, P. R. Stinga

arxiv:1207.7203 v2 · 2012-07-31 · math.AP · math.CA · 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{NDV5X7AXHWVXY7LSYBPUDSOUUW}

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	2026-05-18T03:33:14.019120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ebdbfc173dab7c7d72c05f41c9d4a5886fc83e1d7750f336f4037ccad659f8

Aliases

arxiv: 1207.7203 · arxiv_version: 1207.7203v2 · doi: 10.48550/arxiv.1207.7203 · pith_short_12: NDV5X7AXHWVX · pith_short_16: NDV5X7AXHWVXY7LS · pith_short_8: NDV5X7AX

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/NDV5X7AXHWVXY7LSYBPUDSOUUW \
  | 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: 68ebdbfc173dab7c7d72c05f41c9d4a5886fc83e1d7750f336f4037ccad659f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "308b8a178d8b6be12358b35278f18beb2353c9979f673e5487c151dde9b0ff38",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-31T10:06:51Z",
    "title_canon_sha256": "7505a95208a6abcead65fccabd084b8473c509a2e3aabfc2b8e03604ca2f8f01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7203",
    "kind": "arxiv",
    "version": 2
  }
}