Pith Number

pith:OG45KIDJ

pith:2012:OG45KIDJRRI4VDBLXYZ237QP4W

not attested not anchored not stored refs pending

Topological dynamics and definable groups

Anand Pillay

arxiv:1201.2368 v1 · 2012-01-11 · math.LO · 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{OG45KIDJRRI4VDBLXYZ237QP4W}

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	2026-05-18T04:04:52.506449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71b9d520698c51ca8c2bbe33adfe0fe58dc35d275c5717ede4b96c8b5af3af07

Aliases

arxiv: 1201.2368 · arxiv_version: 1201.2368v1 · doi: 10.48550/arxiv.1201.2368 · pith_short_12: OG45KIDJRRI4 · pith_short_16: OG45KIDJRRI4VDBL · pith_short_8: OG45KIDJ

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/OG45KIDJRRI4VDBLXYZ237QP4W \
  | 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: 71b9d520698c51ca8c2bbe33adfe0fe58dc35d275c5717ede4b96c8b5af3af07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "211d411a3e758879b8da66a82e72d3e55a1126dd50b8a026ac813e7031b1624b",
    "cross_cats_sorted": [
      "math.DS",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-11T18:22:24Z",
    "title_canon_sha256": "c5e6da7e807f5e8c1d1a40a2fb6ae1aa4b3fd05bfce61472acf41c66c0a0e0ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2368",
    "kind": "arxiv",
    "version": 1
  }
}