Pith Number

pith:MFSQJEG4

pith:2015:MFSQJEG4F56EMTCOOXO2FMUTSK

not attested not anchored not stored refs pending

Flows for non-smooth vector fields with subexponentially integrable divergence

Albert Clop, Joan Mateu, Joan Orobitg, Renjin Jiang

arxiv:1507.04016 v3 · 2015-07-14 · math.CA · 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{MFSQJEG4F56EMTCOOXO2FMUTSK}

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	2026-05-18T01:21:23.009255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61650490dc2f7c464c4e75dda2b29392b5308f86b3a83c9ebb6e0ecc97f42c23

Aliases

arxiv: 1507.04016 · arxiv_version: 1507.04016v3 · doi: 10.48550/arxiv.1507.04016 · pith_short_12: MFSQJEG4F56E · pith_short_16: MFSQJEG4F56EMTCO · pith_short_8: MFSQJEG4

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/MFSQJEG4F56EMTCOOXO2FMUTSK \
  | 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: 61650490dc2f7c464c4e75dda2b29392b5308f86b3a83c9ebb6e0ecc97f42c23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5caffaaee40b990bdb6cb066ee55b29045425f893681bc97754ba4266dba78c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-14T20:26:28Z",
    "title_canon_sha256": "3022f5893830260667f05b340c89345798dd7809985de29078d2738cec5d51c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04016",
    "kind": "arxiv",
    "version": 3
  }
}