Pith Number

pith:H6IUQHAB

pith:2012:H6IUQHABKEY5OONAXO6Y7AND2N

not attested not anchored not stored refs pending

IP-rigidity and eigenvalue groups

Jon. Aaronson, Mariusz Lemanczyk, Maryam Hosseini

arxiv:1203.2257 v4 · 2012-03-10 · 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{H6IUQHABKEY5OONAXO6Y7AND2N}

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	2026-05-17T23:53:18.874615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f91481c015131d739a0bbbd8f81a3d351948dd565d3ac1afeeaad88be499ff8

Aliases

arxiv: 1203.2257 · arxiv_version: 1203.2257v4 · doi: 10.48550/arxiv.1203.2257 · pith_short_12: H6IUQHABKEY5 · pith_short_16: H6IUQHABKEY5OONA · pith_short_8: H6IUQHAB

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/H6IUQHABKEY5OONAXO6Y7AND2N \
  | 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: 3f91481c015131d739a0bbbd8f81a3d351948dd565d3ac1afeeaad88be499ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b62c221c26964831b273301782bdc2650f163249f601af271d4ed263f711a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-10T16:18:16Z",
    "title_canon_sha256": "b4b3e00933fa36bae6f08920fcb0b3a9908566fb024444c35e3c2ba9403d0d4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2257",
    "kind": "arxiv",
    "version": 4
  }
}