Pith Number

pith:UPD5ACVW

pith:2025:UPD5ACVWHLUWVVNT7K545TSHXH

not attested not anchored not stored refs pending

The Euler equations with variable coefficients

Amjad Tuffaha, Benjamin Ingimarson, Igor Kukavica

arxiv:2509.01067 v1 · 2025-09-01 · 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{UPD5ACVWHLUWVVNT7K545TSHXH}

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	2026-07-05T12:02:52.891952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c7d00ab63ae96ad5b3fabbcece47b9dbcc798670c3fe2b19fb95c2b2b74026

Aliases

arxiv: 2509.01067 · arxiv_version: 2509.01067v1 · doi: 10.48550/arxiv.2509.01067 · pith_short_12: UPD5ACVWHLUW · pith_short_16: UPD5ACVWHLUWVVNT · pith_short_8: UPD5ACVW

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/UPD5ACVWHLUWVVNT7K545TSHXH \
  | 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: a3c7d00ab63ae96ad5b3fabbcece47b9dbcc798670c3fe2b19fb95c2b2b74026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799ff5e14e6e9a3209a880a74ea6b754325cac89714a42c0db661ef8710fa6af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-01T02:13:13Z",
    "title_canon_sha256": "80080d84d63172ffc46cdec69a24257006ba5e0da2dc19088fedba3730fd04d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01067",
    "kind": "arxiv",
    "version": 1
  }
}