Pith Number

pith:XO45HXZO

pith:2014:XO45HXZO43KCCP45VNE3NDVU4F

not attested not anchored not stored refs pending

Global existence for the two-component Camassa-Holm system and the modified two-component Camassa-Holm system

Jingjing Liu, Zhaoyang Yin

arxiv:1401.3082 v3 · 2014-01-14 · 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{XO45HXZO43KCCP45VNE3NDVU4F}

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	2026-05-17T23:57:35.391516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb9d3df2ee6d4213f9dab49b68eb4e15940cda91f3994dcb12e9b17f5baa3fc

Aliases

arxiv: 1401.3082 · arxiv_version: 1401.3082v3 · doi: 10.48550/arxiv.1401.3082 · pith_short_12: XO45HXZO43KC · pith_short_16: XO45HXZO43KCCP45 · pith_short_8: XO45HXZO

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/XO45HXZO43KCCP45VNE3NDVU4F \
  | 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: bbb9d3df2ee6d4213f9dab49b68eb4e15940cda91f3994dcb12e9b17f5baa3fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ca02fc8a4f752138bc41f2abbf06151c65447b52c2aebcdceee97eb32c1e38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-14T06:43:16Z",
    "title_canon_sha256": "dfa13b7ed6e4e7baa8a9f07ccd1f7133375f42f5cde47ef0161bde1e284e8670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3082",
    "kind": "arxiv",
    "version": 3
  }
}