Pith Number

pith:XGWZBKGT

pith:2011:XGWZBKGTUP3GMGYYS4WHKRAWHL

not attested not anchored not stored refs pending

Complete integrability of shock clustering and Burgers turbulence

Govind Menon

arxiv:1102.2418 v1 · 2011-02-11 · nlin.SI · math.AP · math.PR · nlin.AO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGWZBKGTUP3GMGYYS4WHKRAWHL}

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	2026-05-18T03:25:44.128204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ad90a8d3a3f6661b18972c7544163af374ba12bbce4a1004f3c70d7ce010f6

Aliases

arxiv: 1102.2418 · arxiv_version: 1102.2418v1 · doi: 10.48550/arxiv.1102.2418 · pith_short_12: XGWZBKGTUP3G · pith_short_16: XGWZBKGTUP3GMGYY · pith_short_8: XGWZBKGT

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/XGWZBKGTUP3GMGYYS4WHKRAWHL \
  | 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: b9ad90a8d3a3f6661b18972c7544163af374ba12bbce4a1004f3c70d7ce010f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "056f0510eff70a8209ff3d6922762c3717ddc7757613d19aa79db5ba66dc9685",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-02-11T19:40:52Z",
    "title_canon_sha256": "4287e25c6521f4c90c76f6af0c6d98101c3d473bbe9faa904969acbe2bb364a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2418",
    "kind": "arxiv",
    "version": 1
  }
}