Pith Number

pith:RIS5Q7QG

pith:2003:RIS5Q7QGB5ERZWZD4OX55DECYM

not attested not anchored not stored refs pending

Interior spikes of a singularly perturbed Neumann problem with potentials

Alessio Pomponio, Simone Secchi

arxiv:math/0312054 v1 · 2003-12-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RIS5Q7QGB5ERZWZD4OX55DECYM}

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	2026-05-18T01:05:26.699135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a25d87e060f491cdb23e3afde8c82c33a102fcd2d75e28d74a61f66d3e58a52

Aliases

arxiv: math/0312054 · arxiv_version: math/0312054v1 · doi: 10.48550/arxiv.math/0312054 · pith_short_12: RIS5Q7QGB5ER · pith_short_16: RIS5Q7QGB5ERZWZD · pith_short_8: RIS5Q7QG

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/RIS5Q7QGB5ERZWZD4OX55DECYM \
  | 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: 8a25d87e060f491cdb23e3afde8c82c33a102fcd2d75e28d74a61f66d3e58a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7486cd979fd2bfb18522c18942226a5caad4021a0aa92e635e80f09ef0482ab",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-12-02T09:35:29Z",
    "title_canon_sha256": "0234912cbafa84b8a0e8ef6cf9c05092536a033ea65f6b10c2ddd01252ac0df4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312054",
    "kind": "arxiv",
    "version": 1
  }
}