Pith Number

pith:6K2GLJSG

pith:2011:6K2GLJSG6FQWJSBHKQSVS6CPGK

not attested not anchored not stored refs pending

Bounded orbits and global fixed points for groups acting on the plane

Kathryn Mann

arxiv:1103.5060 v2 · 2011-03-25 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6K2GLJSG6FQWJSBHKQSVS6CPGK}

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	2026-05-18T02:41:50.559262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b465a646f16164c827542559784f32b32a0aa4e1a117b059c94c3bed60acac

Aliases

arxiv: 1103.5060 · arxiv_version: 1103.5060v2 · doi: 10.48550/arxiv.1103.5060 · pith_short_12: 6K2GLJSG6FQW · pith_short_16: 6K2GLJSG6FQWJSBH · pith_short_8: 6K2GLJSG

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/6K2GLJSG6FQWJSBHKQSVS6CPGK \
  | 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: f2b465a646f16164c827542559784f32b32a0aa4e1a117b059c94c3bed60acac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7176cca79636fa10947986d4d47bbef8784af6045d326858ad2a77558516c9f7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-25T18:46:35Z",
    "title_canon_sha256": "53d139451da818cc5cfe8b6e69f251693c8ac065f839abc9348e67d1b9293431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5060",
    "kind": "arxiv",
    "version": 2
  }
}