Pith Number

pith:IJSENNAV

pith:2010:IJSENNAVST3C7TU6RTE27GQE5I

not attested not anchored not stored refs pending

Blow-up phenomena and global existence for a periodic two-component Hunter-Saxton system

Jingjing Liu, Zhaoyang Yin

arxiv:1012.5448 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{IJSENNAVST3C7TU6RTE27GQE5I}

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	2026-05-18T04:25:48.791670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

426446b41594f62fce9e8cc9af9a04ea36faac5a6983f3c595f374d1404fb3ce

Aliases

arxiv: 1012.5448 · arxiv_version: 1012.5448v3 · doi: 10.48550/arxiv.1012.5448 · pith_short_12: IJSENNAVST3C · pith_short_16: IJSENNAVST3C7TU6 · pith_short_8: IJSENNAV

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/IJSENNAVST3C7TU6RTE27GQE5I \
  | 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: 426446b41594f62fce9e8cc9af9a04ea36faac5a6983f3c595f374d1404fb3ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cb428308aeda7237dbb48c3e3ee2539a63fde001554645fc0f64420274fe27b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-25T04:26:25Z",
    "title_canon_sha256": "f845f66631e310e90a56e26dc05774193c96479432a58745d0dd08d0aacb9a29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5448",
    "kind": "arxiv",
    "version": 3
  }
}