Pith Number

pith:Y2PURBOS

pith:1999:Y2PURBOSIIXRYYZ54CISA5FNO7

not attested not anchored not stored refs pending

Versal deformations of a Dirac type differential operator

Anatoliy K. Prykarpatsky, Denis Blackmore

arxiv:math/9907211 v1 · 1999-07-01 · 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{Y2PURBOSIIXRYYZ54CISA5FNO7}

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	2026-05-18T01:38:22.413540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c69f4885d2422f1c633de0912074ad77dc875c4fb4e257a8a9e4756c0719f52a

Aliases

arxiv: math/9907211 · arxiv_version: math/9907211v1 · doi: 10.48550/arxiv.math/9907211 · pith_short_12: Y2PURBOSIIXR · pith_short_16: Y2PURBOSIIXRYYZ5 · pith_short_8: Y2PURBOS

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/Y2PURBOSIIXRYYZ54CISA5FNO7 \
  | 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: c69f4885d2422f1c633de0912074ad77dc875c4fb4e257a8a9e4756c0719f52a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e6fa8eb52aab6378fdbaa099c1d167b2647cd7464b2091cd4a80ec03f2fc20f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "1999-07-01T00:00:00Z",
    "title_canon_sha256": "3e0e1930c930b29cce45a11931f0e0f3aa5e150e8d322b8d3e66ab47a5775563"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907211",
    "kind": "arxiv",
    "version": 1
  }
}