Pith Number

pith:VFSOM3ZM

pith:2016:VFSOM3ZMWD2GZEBR6GTQZHIG52

not attested not anchored not stored refs pending

Smooth actions of $Aff^+ (\mathbb R)$ on compact surfaces with no fixed point: an elementary construction

Francisco-Javier Turiel

arxiv:1602.05736 v1 · 2016-02-18 · 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{VFSOM3ZMWD2GZEBR6GTQZHIG52}

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	2026-05-18T01:20:23.362112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a964e66f2cb0f46c9031f1a70c9d06eeaab0871a408de33c19015b624549a1ab

Aliases

arxiv: 1602.05736 · arxiv_version: 1602.05736v1 · doi: 10.48550/arxiv.1602.05736 · pith_short_12: VFSOM3ZMWD2G · pith_short_16: VFSOM3ZMWD2GZEBR · pith_short_8: VFSOM3ZM

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/VFSOM3ZMWD2GZEBR6GTQZHIG52 \
  | 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: a964e66f2cb0f46c9031f1a70c9d06eeaab0871a408de33c19015b624549a1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88a372b9b47e8f238026c87796330dee3d1bf4dee7514e307cfdea58a1ab83c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-18T10:01:15Z",
    "title_canon_sha256": "2954ce09d4669280e43d38f454e65680a1a16da657a2d34de241a5ab0fe526b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05736",
    "kind": "arxiv",
    "version": 1
  }
}