Pith Number

pith:HOUGUXGG

pith:2010:HOUGUXGGHQXLIXFEUON3FCGOBU

not attested not anchored not stored refs pending

Global weak solutions for a periodic two-component $\mu$-Hunter-Saxton system

Jingjing Liu, Zhaoyang Yin

arxiv:1012.5452 v3 · 2010-12-25 · 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{HOUGUXGGHQXLIXFEUON3FCGOBU}

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	2026-05-18T04:27:56.320215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ba86a5cc63c2eb45ca4a39bb288ce0d1fc6863c36960708016f259d50616b3d

Aliases

arxiv: 1012.5452 · arxiv_version: 1012.5452v3 · doi: 10.48550/arxiv.1012.5452 · pith_short_12: HOUGUXGGHQXL · pith_short_16: HOUGUXGGHQXLIXFE · pith_short_8: HOUGUXGG

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/HOUGUXGGHQXLIXFEUON3FCGOBU \
  | 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: 3ba86a5cc63c2eb45ca4a39bb288ce0d1fc6863c36960708016f259d50616b3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb3abc97054283032258cb47d9dc2394692cd5f13efde71f266c7e7975f2d04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-25T04:50:42Z",
    "title_canon_sha256": "53375ec6e289cb43b1e03fc9d4902a160b7ceff93ae952625766fd54bb1351a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5452",
    "kind": "arxiv",
    "version": 3
  }
}