Pith Number

pith:VNAERGTS

pith:2024:VNAERGTSH3ZQ5ADCVP4NGHNMTN

not attested not anchored not stored refs pending

Non-uniform dependence on initial data for the generalized Camassa-Holm equation in $C^1$

Fang Liu, Yanghai Yu

arxiv:2405.17771 v1 · 2024-05-28 · 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{VNAERGTSH3ZQ5ADCVP4NGHNMTN}

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	2026-07-05T08:24:11.220910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab40489a723ef30e8062abf8d31dac9b41d770b422f473f5fc14a0612a1a8c1a

Aliases

arxiv: 2405.17771 · arxiv_version: 2405.17771v1 · doi: 10.48550/arxiv.2405.17771 · pith_short_12: VNAERGTSH3ZQ · pith_short_16: VNAERGTSH3ZQ5ADC · pith_short_8: VNAERGTS

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/VNAERGTSH3ZQ5ADCVP4NGHNMTN \
  | 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: ab40489a723ef30e8062abf8d31dac9b41d770b422f473f5fc14a0612a1a8c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb229b219516d25287acd5350b0e814e899f1708f64d25ff6ed9f56b659310c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-05-28T02:56:45Z",
    "title_canon_sha256": "b74b7c87591653e1eff57f4fe4703fdad0867cff4792b435efa91ec148724c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.17771",
    "kind": "arxiv",
    "version": 1
  }
}