Pith Number

pith:K5DIRJBY

pith:2018:K5DIRJBYYI7BQ7BIOTTVOXRZHF

not attested not anchored not stored refs pending

Entropy rigidity for three dimensional volume preserving Anosov flows

Jiagang Yang

arxiv:1806.09163 v2 · 2018-06-24 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5DIRJBYYI7BQ7BIOTTVOXRZHF}

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	2026-05-17T23:58:19.165194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

574688a438c23e187c2874e7575e3939607a32cea7ab75e1838177e62f159cae

Aliases

arxiv: 1806.09163 · arxiv_version: 1806.09163v2 · doi: 10.48550/arxiv.1806.09163 · pith_short_12: K5DIRJBYYI7B · pith_short_16: K5DIRJBYYI7BQ7BI · pith_short_8: K5DIRJBY

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/K5DIRJBYYI7BQ7BIOTTVOXRZHF \
  | 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: 574688a438c23e187c2874e7575e3939607a32cea7ab75e1838177e62f159cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7534d2e1c8d8300943ce2720bc9c022bbc26e6d3c654a220dd6b54fec38a15f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-06-24T15:33:21Z",
    "title_canon_sha256": "72ce1163a60fc6e409de836bee05d017f4bc355d515ea4ddffab2f2c4a4bd736"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09163",
    "kind": "arxiv",
    "version": 2
  }
}