Pith Number

pith:5LBQUP7V

pith:2026:5LBQUP7VH7YH5ICS4M3Y7ELWXV

not attested not anchored not stored refs pending

Hausdorff type Time-Trace Observability for Airy Equations on the Line and Point Observability on the Torus

Ze Li

arxiv:2607.24076 v1 · 2026-07-27 · 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{5LBQUP7VH7YH5ICS4M3Y7ELWXV}

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	2026-07-28T01:23:43.977649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eac30a3ff53ff07ea052e3378f9176bd41c49c6549a39ac532817d7c12cabf7c

Aliases

arxiv: 2607.24076 · arxiv_version: 2607.24076v1 · doi: 10.48550/arxiv.2607.24076 · pith_short_12: 5LBQUP7VH7YH · pith_short_16: 5LBQUP7VH7YH5ICS · pith_short_8: 5LBQUP7V

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/5LBQUP7VH7YH5ICS4M3Y7ELWXV \
  | 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: eac30a3ff53ff07ea052e3378f9176bd41c49c6549a39ac532817d7c12cabf7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b86aebf38d1b16bd3cbf76bf7a2d2da517d774eeebed017d731f023a081240",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-27T07:18:56Z",
    "title_canon_sha256": "8e82e8f1a487f06a22e9c50dc9ab9efbb5de55542da3219bd337f0cde34aeb09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24076",
    "kind": "arxiv",
    "version": 1
  }
}