Pith Number

pith:R6ZPJUO6

pith:2007:R6ZPJUO63K6OBYIK43YNXVFNVR

not attested not anchored not stored refs pending

On Invariant volumes of codimension-one Anosov flows and the Verjovsky conjecture

Masayuki Asaoka

arxiv:math/0703334 v2 · 2007-03-12 · 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{R6ZPJUO63K6OBYIK43YNXVFNVR}

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	2026-05-18T04:33:18.425894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb2f4d1dedabce0e10ae6f0dbd4adac79fc2f736a96d4d660f2823c7aa51d7f

Aliases

arxiv: math/0703334 · arxiv_version: math/0703334v2 · doi: 10.48550/arxiv.math/0703334 · pith_short_12: R6ZPJUO63K6O · pith_short_16: R6ZPJUO63K6OBYIK · pith_short_8: R6ZPJUO6

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/R6ZPJUO63K6OBYIK43YNXVFNVR \
  | 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: 8fb2f4d1dedabce0e10ae6f0dbd4adac79fc2f736a96d4d660f2823c7aa51d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248224f8cde9c497f9c9c51747c3d8a11d9920e08008227c2949ae696a3b720d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-03-12T12:23:17Z",
    "title_canon_sha256": "6e46bfe10e6e8f549709782492aa5d5d339a3720c28e2a4a4b34128db4f7a9f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703334",
    "kind": "arxiv",
    "version": 2
  }
}