Pith Number

pith:EJ4MPGW5

pith:2012:EJ4MPGW53EVCVK6LVILP7UB45L

not attested not anchored not stored refs pending

Bohr Density of Simple Linear Group Orbits

Francois Ziegler, Roger Howe

arxiv:1211.3783 v2 · 2012-11-16 · 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{EJ4MPGW53EVCVK6LVILP7UB45L}

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	2026-05-17T23:53:18.282719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2278c79addd92a2aabcbaa16ffd03ceaff6e256548fb9f3e99654bb1f6e502d9

Aliases

arxiv: 1211.3783 · arxiv_version: 1211.3783v2 · doi: 10.48550/arxiv.1211.3783 · pith_short_12: EJ4MPGW53EVC · pith_short_16: EJ4MPGW53EVCVK6L · pith_short_8: EJ4MPGW5

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/EJ4MPGW53EVCVK6LVILP7UB45L \
  | 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: 2278c79addd92a2aabcbaa16ffd03ceaff6e256548fb9f3e99654bb1f6e502d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732b0f15864f70ad908c9a5483a798b711e526038c36283cb994e875054c349b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-16T01:21:32Z",
    "title_canon_sha256": "84c29ae31ad470526a94e10754b99c1dd3c3828c2ee7f7897263d96b49c4645a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3783",
    "kind": "arxiv",
    "version": 2
  }
}