Pith Number

pith:XFLT2U4Z

pith:2015:XFLT2U4ZCW5E6L4A3WIUE43KX5

not attested not anchored not stored refs pending

Smooth toric actions are described by a single vector field

A. Viruel, F.J. Turiel

arxiv:1509.04118 v2 · 2015-09-14 · math.DG · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFLT2U4ZCW5E6L4A3WIUE43KX5}

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	2026-05-18T01:30:50.618463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9573d539915ba4f2f80dd9142736abf79415328325478c468f77b54b3586144

Aliases

arxiv: 1509.04118 · arxiv_version: 1509.04118v2 · doi: 10.48550/arxiv.1509.04118 · pith_short_12: XFLT2U4ZCW5E · pith_short_16: XFLT2U4ZCW5E6L4A · pith_short_8: XFLT2U4Z

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/XFLT2U4ZCW5E6L4A3WIUE43KX5 \
  | 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: b9573d539915ba4f2f80dd9142736abf79415328325478c468f77b54b3586144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "120882e60a0ccd45a02c7e59f5322394b07ca5dc22c91416e55e47db8a2c578c",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-14T14:41:00Z",
    "title_canon_sha256": "b8517ba547c1eb6d2e4db75cf88b12d8b86307d3292b14e7a4fec8a237d5f4e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04118",
    "kind": "arxiv",
    "version": 2
  }
}