Pith Number

pith:FX2KQXDM

pith:2026:FX2KQXDMMJYTJ44GUCBP2T5KMY

not attested not anchored not stored refs pending

A lecture on Navier-Stokes equations

FAMSI), Sylvie Monniaux (I2M

arxiv:2607.18841 v1 · 2026-07-21 · math.HO · 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{FX2KQXDMMJYTJ44GUCBP2T5KMY}

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	2026-07-22T01:23:15.432140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df4a85c6c627134f386a082fd4faa663dd459fbdb77f3bc54bea7119bbbd88b

Aliases

arxiv: 2607.18841 · arxiv_version: 2607.18841v1 · doi: 10.48550/arxiv.2607.18841 · pith_short_12: FX2KQXDMMJYT · pith_short_16: FX2KQXDMMJYTJ44G · pith_short_8: FX2KQXDM

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/FX2KQXDMMJYTJ44GUCBP2T5KMY \
  | 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: 2df4a85c6c627134f386a082fd4faa663dd459fbdb77f3bc54bea7119bbbd88b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50489cc21f77d41fd8a23b41890a9d7033f4cfe56fd380e4c80656c849b2e1a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2026-07-21T08:26:46Z",
    "title_canon_sha256": "9050369e1d8021a52b5bb268b04740a60be06ccb09f1db2b1e02eae17f0bcf0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18841",
    "kind": "arxiv",
    "version": 1
  }
}