Pith Number

pith:72WUUWHN

pith:2011:72WUUWHNLNGF4PMDYP44RHRQQM

not attested not anchored not stored refs pending

The Lopatinski determinant of small shocks may vanish

Heinrich Freistuhler, Peter Szmolyan

arxiv:1102.4279 v1 · 2011-02-21 · 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{72WUUWHNLNGF4PMDYP44RHRQQM}

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	2026-05-18T04:28:10.523092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fead4a58ed5b4c5e3d83c3f9c89e308310f9c33fca75740f2508cf5a90d450d5

Aliases

arxiv: 1102.4279 · arxiv_version: 1102.4279v1 · doi: 10.48550/arxiv.1102.4279 · pith_short_12: 72WUUWHNLNGF · pith_short_16: 72WUUWHNLNGF4PMD · pith_short_8: 72WUUWHN

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/72WUUWHNLNGF4PMDYP44RHRQQM \
  | 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: fead4a58ed5b4c5e3d83c3f9c89e308310f9c33fca75740f2508cf5a90d450d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "190bd366a6c4fcc0485e89361ef151b79cdae3479c37a5495893b44ec8ab271a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-21T16:57:33Z",
    "title_canon_sha256": "d4307197a0b593a8a78f3c5f1acc1e8447709b8342ae5c67a25579f1d6cf88b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4279",
    "kind": "arxiv",
    "version": 1
  }
}