Pith Number

pith:TJ4SWSFN

pith:2010:TJ4SWSFNW4OVDSOYRKTEKYQQ62

not attested not anchored not stored refs pending

Global existence for the generalized two-component Hunter-Saxton system

Hao Wu, Marcus Wunsch

arxiv:1009.1688 v1 · 2010-09-09 · 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{TJ4SWSFNW4OVDSOYRKTEKYQQ62}

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	2026-05-18T03:42:34.136201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a792b48adb71d51c9d88aa6456210f68bc051803eaec4828dad60643c238ee4

Aliases

arxiv: 1009.1688 · arxiv_version: 1009.1688v1 · doi: 10.48550/arxiv.1009.1688 · pith_short_12: TJ4SWSFNW4OV · pith_short_16: TJ4SWSFNW4OVDSOY · pith_short_8: TJ4SWSFN

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/TJ4SWSFNW4OVDSOYRKTEKYQQ62 \
  | 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: 9a792b48adb71d51c9d88aa6456210f68bc051803eaec4828dad60643c238ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f7db8d7af8694bef0e3937f33d5b32fed552ab2e6aecb97c4de7236f53df69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-09T06:03:16Z",
    "title_canon_sha256": "60bb48fae544b9d0fb33fa708ce2297fa13a30e63baa896a93de1bf7681b9afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1688",
    "kind": "arxiv",
    "version": 1
  }
}