Pith Number

pith:MNAVZBSG

pith:2011:MNAVZBSGYQG3BMNDVKBLQYKYZU

not attested not anchored not stored refs pending

Time's Arrow for Shockwaves ; Bit-Reversible Lyapunov and "Covariant" Vectors ; Symmetry Breaking

Carol G. Hoover, Wm. G. Hoover

arxiv:1112.5491 v8 · 2011-12-22 · cond-mat.stat-mech · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNAVZBSGYQG3BMNDVKBLQYKYZU}

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	2026-05-18T02:47:53.240530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63415c8646c40db0b1a3aa82b86158cd2893c6911c32041f1a5491df360502c8

Aliases

arxiv: 1112.5491 · arxiv_version: 1112.5491v8 · doi: 10.48550/arxiv.1112.5491 · pith_short_12: MNAVZBSGYQG3 · pith_short_16: MNAVZBSGYQG3BMND · pith_short_8: MNAVZBSG

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/MNAVZBSGYQG3BMNDVKBLQYKYZU \
  | 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: 63415c8646c40db0b1a3aa82b86158cd2893c6911c32041f1a5491df360502c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "892026f13fb0d894156d135770542af4b9c85cc49ca17ce25f263c182a097393",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-12-22T23:37:28Z",
    "title_canon_sha256": "21d30b9d98414c5378d41f1a8c058b2ed119fc4c8ee62f348919a27f7e856816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5491",
    "kind": "arxiv",
    "version": 8
  }
}