Pith Number

pith:V3BSL6FY

pith:2016:V3BSL6FY3J2LKSLH6BTGIH3RU4

not attested not anchored not stored refs pending

Free orbits for minimal actions on the circle

Joaqu\'in Brum, Matilde Mart\'inez, Rafael Potrie

arxiv:1609.09452 v1 · 2016-09-29 · math.DS · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3BSL6FY3J2LKSLH6BTGIH3RU4}

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	2026-05-18T01:03:37.843934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec325f8b8da74b54967f066641f71a72749eb096e0aa7980323c04baff014e2

Aliases

arxiv: 1609.09452 · arxiv_version: 1609.09452v1 · doi: 10.48550/arxiv.1609.09452 · pith_short_12: V3BSL6FY3J2L · pith_short_16: V3BSL6FY3J2LKSLH · pith_short_8: V3BSL6FY

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/V3BSL6FY3J2LKSLH6BTGIH3RU4 \
  | 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: aec325f8b8da74b54967f066641f71a72749eb096e0aa7980323c04baff014e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e74919dfa15ff4997676e694bfe86d0664bfd63c6bf43be24893223dd86625c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-29T18:16:51Z",
    "title_canon_sha256": "841326ed38cc2cd9e7e8ea565aa1439f7890f77cf52a8172829ff76f17b1ba86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09452",
    "kind": "arxiv",
    "version": 1
  }
}