Pith Number

pith:CHRMLQS5

pith:2016:CHRMLQS5YEEYKBYTBQUN3R3QOK

not attested not anchored not stored refs pending

Local Petrovskii lacunas at parabolic singular points of wavefronts of strictly hyperbolic PDE's

Victor A. Vassiliev

arxiv:1607.04042 v1 · 2016-07-14 · 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{CHRMLQS5YEEYKBYTBQUN3R3QOK}

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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

Complements of discriminants of real singularities of type $X_{10}$

Receipt and verification

First computed	2026-05-18T00:53:33.833667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11e2c5c25dc1098507130c28ddc770728882bb8e713d8a67aa055f98b6c6f34c

Aliases

arxiv: 1607.04042 · arxiv_version: 1607.04042v1 · doi: 10.48550/arxiv.1607.04042 · pith_short_12: CHRMLQS5YEEY · pith_short_16: CHRMLQS5YEEYKBYT · pith_short_8: CHRMLQS5

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/CHRMLQS5YEEYKBYTBQUN3R3QOK \
  | 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: 11e2c5c25dc1098507130c28ddc770728882bb8e713d8a67aa055f98b6c6f34c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5d4cc7bc3f677f22ef28c7bde626d91d30a030869869ba5aff40987c9c52369",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-14T09:14:08Z",
    "title_canon_sha256": "5c2803e86f64001f3f1fed0a49323342b73d3acd940bbd5ebf022699119a8a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04042",
    "kind": "arxiv",
    "version": 1
  }
}