Pith Number

pith:5RNGFVQ3

pith:2015:5RNGFVQ3S6E3VBNULPPPXABF3B

not attested not anchored not stored refs pending

Removable singularities for div v = f in weighted Lebesgue spaces

Emmanuel Russ (IF), Heli Tuominen, Laurent Moonens (LM-Orsay)

arxiv:1510.03544 v1 · 2015-10-13 · math.CA · math.AP · 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{5RNGFVQ3S6E3VBNULPPPXABF3B}

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	2026-05-18T01:30:16.884646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec5a62d61b9789ba85b45bdefb8025d85db6d7c6cbc6fb7852c3d37b8c2fdbf9

Aliases

arxiv: 1510.03544 · arxiv_version: 1510.03544v1 · doi: 10.48550/arxiv.1510.03544 · pith_short_12: 5RNGFVQ3S6E3 · pith_short_16: 5RNGFVQ3S6E3VBNU · pith_short_8: 5RNGFVQ3

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/5RNGFVQ3S6E3VBNULPPPXABF3B \
  | 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: ec5a62d61b9789ba85b45bdefb8025d85db6d7c6cbc6fb7852c3d37b8c2fdbf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "092db079685d2c8bcae12f1c01aa8a4f335fb84bf801cea2b6cfa23def4d0708",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-13T06:10:57Z",
    "title_canon_sha256": "26cfa19225c09e056193a2a4d8dbe849066ab54680f6646c029327add8921f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03544",
    "kind": "arxiv",
    "version": 1
  }
}