Pith Number

pith:HH6WKSUO

pith:2013:HH6WKSUORNX5CGQJG3DZECAKKM

not attested not anchored not stored refs pending

Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur

Benjamin Texier, Kevin Zumbrun

arxiv:1305.4275 v2 · 2013-05-18 · 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{HH6WKSUORNX5CGQJG3DZECAKKM}

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	2026-05-18T02:31:48.328848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39fd654a8e8b6fd11a0936c792080a53230480d888ad22354175e0ec294f5f1b

Aliases

arxiv: 1305.4275 · arxiv_version: 1305.4275v2 · doi: 10.48550/arxiv.1305.4275 · pith_short_12: HH6WKSUORNX5 · pith_short_16: HH6WKSUORNX5CGQJ · pith_short_8: HH6WKSUO

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/HH6WKSUORNX5CGQJG3DZECAKKM \
  | 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: 39fd654a8e8b6fd11a0936c792080a53230480d888ad22354175e0ec294f5f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6396b12f8ce96e1fa95f6fedbdeff465aafe91f64f2c26f7c33ea57f77530f85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-18T15:46:38Z",
    "title_canon_sha256": "cd3cc3b870ab16961746a5f6024a469fa3428ecbdf10ba1cc8598a53e3bddbd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4275",
    "kind": "arxiv",
    "version": 2
  }
}