Pith Number

pith:VVLLXD26

pith:2010:VVLLXD265N54APAOYCQP25YNTB

not attested not anchored not stored refs pending

Pseudo-Anosov flows in toroidal manifolds

Sergio Fenley, Thierry Barbot

arxiv:1007.0578 v2 · 2010-07-04 · math.GT · 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{VVLLXD265N54APAOYCQP25YNTB}

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	2026-05-18T02:38:18.440711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad56bb8f5eeb7bc03c0ec0a0fd770d9870e6c44149c627a6b200ee71a10cad78

Aliases

arxiv: 1007.0578 · arxiv_version: 1007.0578v2 · doi: 10.48550/arxiv.1007.0578 · pith_short_12: VVLLXD265N54 · pith_short_16: VVLLXD265N54APAO · pith_short_8: VVLLXD26

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/VVLLXD265N54APAOYCQP25YNTB \
  | 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: ad56bb8f5eeb7bc03c0ec0a0fd770d9870e6c44149c627a6b200ee71a10cad78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe3f428845067113ae61ddb126cb34eddd0aef3b1c0888e69c17b07dfc004ca",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-07-04T19:28:38Z",
    "title_canon_sha256": "9150f70f1e2b8338ef944e6f00b7ca5561a6fcbfd9da928f76cf67dd55b98248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0578",
    "kind": "arxiv",
    "version": 2
  }
}