Pith Number

pith:UGBRU6Q7

pith:2018:UGBRU6Q7T6RSOCROKYVVAVMBMJ

not attested not anchored not stored refs pending

On singularity formation for the two dimensional unsteady Prandtl system around the axis

Charles Collot, Nader Masmoudi, Slim Ibrahim, Tej-Eddine Ghoul

arxiv:1808.05967 v2 · 2018-08-17 · 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{UGBRU6Q7T6RSOCROKYVVAVMBMJ}

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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.

Cited by

1 paper in Pith

Formation of shocks for 2D isentropic compressible Euler

Receipt and verification

First computed	2026-07-05T04:12:14.210808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1831a7a1f9fa3270a2e562b505581626a97a220f11ec2b8e3b2240cde557846

Aliases

arxiv: 1808.05967 · arxiv_version: 1808.05967v2 · doi: 10.48550/arxiv.1808.05967 · pith_short_12: UGBRU6Q7T6RS · pith_short_16: UGBRU6Q7T6RSOCRO · pith_short_8: UGBRU6Q7

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/UGBRU6Q7T6RSOCROKYVVAVMBMJ \
  | 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: a1831a7a1f9fa3270a2e562b505581626a97a220f11ec2b8e3b2240cde557846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12c4cb0d6e8eba6da54e100222e4340c076684ca2db9b90c2e672edf9604ec15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-17T18:23:17Z",
    "title_canon_sha256": "b1d853e0eec4ee399cf431765b805af022c40edc7d8c3bf03cb89603fa5ffd69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.05967",
    "kind": "arxiv",
    "version": 2
  }
}