Pith Number

pith:FHOJGZHW

pith:2026:FHOJGZHWN6FNID2377IZKYOHXV

not attested not anchored not stored refs pending

Lifespan Bounds and Super-Classical Propagation for Weak Solutions of the Three-Dimensional Compressible Euler Equations

Thomas C. Sideris

arxiv:2607.20290 v1 · 2026-07-22 · 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{FHOJGZHWN6FNID2377IZKYOHXV}

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	2026-07-23T01:25:12.612822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29dc9364f66f8ad40f5bffd19561c7bd719432bf1d357f69cee54446a25e20cd

Aliases

arxiv: 2607.20290 · arxiv_version: 2607.20290v1 · doi: 10.48550/arxiv.2607.20290 · pith_short_12: FHOJGZHWN6FN · pith_short_16: FHOJGZHWN6FNID23 · pith_short_8: FHOJGZHW

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/FHOJGZHWN6FNID2377IZKYOHXV \
  | 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: 29dc9364f66f8ad40f5bffd19561c7bd719432bf1d357f69cee54446a25e20cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4707bc47e4e3c00d75dc98aebe2788660d6211476ecdbd59ce027cabc4c374f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-22T15:36:23Z",
    "title_canon_sha256": "496ff12bf700d8d69256e9c6d49462acb5796d00674707cb49ea168168747027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20290",
    "kind": "arxiv",
    "version": 1
  }
}