Pith Number

pith:FCL3THJB

pith:2010:FCL3THJBOLTTDA4JIYVKVDWZ5V

not attested not anchored not stored refs pending

On the Cauchy problem of a periodic 2-component $\mu$-Hunter-Saxton equation

Jingjing Liu, Zhaoyang Yin

arxiv:1012.5349 v2 · 2010-12-24 · 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{FCL3THJBOLTTDA4JIYVKVDWZ5V}

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	2026-05-18T04:25:48.799324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2897b99d2172e7318389462aaa8ed9ed4c10222f82d433809b6d1714b0271c26

Aliases

arxiv: 1012.5349 · arxiv_version: 1012.5349v2 · doi: 10.48550/arxiv.1012.5349 · pith_short_12: FCL3THJBOLTT · pith_short_16: FCL3THJBOLTTDA4J · pith_short_8: FCL3THJB

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/FCL3THJBOLTTDA4JIYVKVDWZ5V \
  | 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: 2897b99d2172e7318389462aaa8ed9ed4c10222f82d433809b6d1714b0271c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9bb37785ee7a268ee010144218fda4ec929be51a0520855aca6befed937f1f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-24T07:02:04Z",
    "title_canon_sha256": "e6041fe0f11a7bd9646c55d62db887e65a3d2becccc692133985ff5a0945e4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5349",
    "kind": "arxiv",
    "version": 2
  }
}