Pith Number

pith:DGOMJLJG

pith:2026:DGOMJLJGFNFKEJSGO2TOOJPWZT

not attested not anchored not stored refs pending

Osgood meets Ambrosio-DiPerna-Lions

Guido De Philippis, Leonardo Franchi

arxiv:2607.28118 v1 · 2026-07-30 · 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{DGOMJLJGFNFKEJSGO2TOOJPWZT}

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	2026-07-31T01:35:48.165975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

199cc4ad262b4aa2264676a6e725f6cce6e6e1a9745670396533bcb8d2fc0644

Aliases

arxiv: 2607.28118 · arxiv_version: 2607.28118v1 · doi: 10.48550/arxiv.2607.28118 · pith_short_12: DGOMJLJGFNFK · pith_short_16: DGOMJLJGFNFKEJSG · pith_short_8: DGOMJLJG

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/DGOMJLJGFNFKEJSGO2TOOJPWZT \
  | 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: 199cc4ad262b4aa2264676a6e725f6cce6e6e1a9745670396533bcb8d2fc0644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8b3470184d8089fa4f1e7716dbcfd9d0be0d37d881e0ae6f4c411b33d93df0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-30T12:27:20Z",
    "title_canon_sha256": "1c48b79ab8d720071ca75a5732bfb22f3f3656578b34d403d9843d536a3e690f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28118",
    "kind": "arxiv",
    "version": 1
  }
}