Pith Number

pith:FT24PVF4

pith:2015:FT24PVF4IXYAXRBHW5EEKUR24W

not attested not anchored not stored refs pending

A dynamical decomposition of the torus into pseudo-circles

Fran\c{c}ois B\'eguin, Sylvain Crovisier, Tobias J\"ager

arxiv:1508.07022 v1 · 2015-08-27 · math.DS · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FT24PVF4IXYAXRBHW5EEKUR24W}

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	2026-05-18T01:34:37.164522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cf5c7d4bc45f00bc427b74845523ae585b6d016a9b56e792df38ffd2f09f496

Aliases

arxiv: 1508.07022 · arxiv_version: 1508.07022v1 · doi: 10.48550/arxiv.1508.07022 · pith_short_12: FT24PVF4IXYA · pith_short_16: FT24PVF4IXYAXRBH · pith_short_8: FT24PVF4

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/FT24PVF4IXYAXRBHW5EEKUR24W \
  | 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: 2cf5c7d4bc45f00bc427b74845523ae585b6d016a9b56e792df38ffd2f09f496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fddd3af8523119597088934108035a8ca0bf8dd5671d2059db9a47a03424484",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-27T20:29:04Z",
    "title_canon_sha256": "120807554ff354f6b147f3f61f888a0b9ec339f5c69402453f83c5fa17f01376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07022",
    "kind": "arxiv",
    "version": 1
  }
}