Pith Number

pith:UGHRHNJT

pith:2021:UGHRHNJTM7S6NSNSJKCFH3VCMZ

not attested not anchored not stored refs pending

Micro-local analysis of contact Anosov flows and band structure of the Ruelle spectrum

Fr\'ed\'eric Faure, Masato Tsujii

arxiv:2102.11196 v4 · 2021-02-22 · math.DS · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGHRHNJTM7S6NSNSJKCFH3VCMZ}

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.

Cited by

1 paper in Pith

Egorov's theorem in the Weyl--H\"ormander calculus

Receipt and verification

First computed	2026-07-05T10:27:02.149193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18f13b53367e5e6c9b24a8453eea2667bfaa6a45d22bef38ceef78d2c1c45f3

Aliases

arxiv: 2102.11196 · arxiv_version: 2102.11196v4 · doi: 10.48550/arxiv.2102.11196 · pith_short_12: UGHRHNJTM7S6 · pith_short_16: UGHRHNJTM7S6NSNS · pith_short_8: UGHRHNJT

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/UGHRHNJTM7S6NSNSJKCFH3VCMZ \
  | 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: a18f13b53367e5e6c9b24a8453eea2667bfaa6a45d22bef38ceef78d2c1c45f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a6237a8ac78fe0119f2209ea5c6c8b1e76dcd520515b667d73e49ebaa47239",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-02-22T17:19:33Z",
    "title_canon_sha256": "3761fcfdcb53b027b5f25b3e9f524573ad78482e7d9a149fed5e225385fcadfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.11196",
    "kind": "arxiv",
    "version": 4
  }
}