Pith Number

pith:VXFWXZT3

pith:2012:VXFWXZT33EEQRPWLRRVDVKX2R6

not attested not anchored not stored refs pending

Anomalous Shock Displacement Probabilities for a Perturbed Scalar Conservation Law

George Papanicolaou, Josselin Garnier, Tzu-Wei Yang

arxiv:1206.1369 v1 · 2012-06-06 · math.PR · math.AP · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXFWXZT33EEQRPWLRRVDVKX2R6}

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	2026-05-18T03:54:05.316344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adcb6be67bd90908becb8c6a3aaafa8f8236c63e2c6dae2430fc613204cfc55d

Aliases

arxiv: 1206.1369 · arxiv_version: 1206.1369v1 · doi: 10.48550/arxiv.1206.1369 · pith_short_12: VXFWXZT33EEQ · pith_short_16: VXFWXZT33EEQRPWL · pith_short_8: VXFWXZT3

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/VXFWXZT33EEQRPWLRRVDVKX2R6 \
  | 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: adcb6be67bd90908becb8c6a3aaafa8f8236c63e2c6dae2430fc613204cfc55d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbea81e6c77c001ed0cdfab4f9817f7d550438e6c8dd481e39bf308c09c638f6",
    "cross_cats_sorted": [
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-06T23:13:48Z",
    "title_canon_sha256": "4ebfd3a5f9b9141f5195f48d02628919fbcd94813c1422bf1a1ea77f0191985a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1369",
    "kind": "arxiv",
    "version": 1
  }
}