Pith Number

pith:Z6NTEDX7

pith:2026:Z6NTEDX7USJBUTTJNQXYB35GUN

not attested not anchored not stored refs pending

Spectral stability in the modified Camassa-Holm equation

Hongjun Gao, Ji Li, Lili Fan

arxiv:2606.20273 v1 · 2026-06-18 · 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{Z6NTEDX7USJBUTTJNQXYB35GUN}

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	2026-06-19T16:13:07.480620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9b320effa4921a4e696c2f80efa6a343bb66e225161cdcf09f32f183b4a7df

Aliases

arxiv: 2606.20273 · arxiv_version: 2606.20273v1 · doi: 10.48550/arxiv.2606.20273 · pith_short_12: Z6NTEDX7USJB · pith_short_16: Z6NTEDX7USJBUTTJ · pith_short_8: Z6NTEDX7

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/Z6NTEDX7USJBUTTJNQXYB35GUN \
  | 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: cf9b320effa4921a4e696c2f80efa6a343bb66e225161cdcf09f32f183b4a7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2a3f367431f4bde9541c752c27ffc6343596585b24b7deab1b25c1e8be51639",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-18T14:17:44Z",
    "title_canon_sha256": "3809752d429f4390975514a6d1befcf61e4ed77d03293d6abc1cffab282e67a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20273",
    "kind": "arxiv",
    "version": 1
  }
}