Pith Number

pith:VRGE7BWR

pith:2025:VRGE7BWRDP4C6KKGCVOOXC7UM6

not attested not anchored not stored refs pending

Notes on tangent bicharacteristics and ill-posedness of the Cauchy problem

Enrico Bernardi, Tatsuo Nishitani

arxiv:2506.08481 v2 · 2025-06-10 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRGE7BWRDP4C6KKGCVOOXC7UM6}

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	2026-07-05T11:19:29.647995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4c4f86d11bf82f2946155ceb8bf467982ee2cf924ed2b72bbbc107459cc49b

Aliases

arxiv: 2506.08481 · arxiv_version: 2506.08481v2 · doi: 10.48550/arxiv.2506.08481 · pith_short_12: VRGE7BWRDP4C · pith_short_16: VRGE7BWRDP4C6KKG · pith_short_8: VRGE7BWR

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/VRGE7BWRDP4C6KKGCVOOXC7UM6 \
  | 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: ac4c4f86d11bf82f2946155ceb8bf467982ee2cf924ed2b72bbbc107459cc49b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2461de59ddffdb1fcd91be149282c4ae5cf9c896936d84e52e70a9762ca2d40",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-10T06:12:07Z",
    "title_canon_sha256": "af070e87272c41f7553989a4c9f13f1cf33ffd8dd6c7a124e87182fc3e53255c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08481",
    "kind": "arxiv",
    "version": 2
  }
}