Pith Number

pith:JTCVEJX3

pith:2012:JTCVEJX3X7CTH3IOZVVDJBJISM

not attested not anchored not stored refs pending

The Auslander conjecture for dimension less than 7

Gregory Margulis, Gregory Soifer, Herbert Abels

arxiv:1211.2525 v4 · 2012-11-12 · 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{JTCVEJX3X7CTH3IOZVVDJBJISM}

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	2026-05-18T03:22:05.887753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc55226fbbfc533ed0ecd6a3485289317bfc831dbbdc76d60a09dc03faaf83b

Aliases

arxiv: 1211.2525 · arxiv_version: 1211.2525v4 · doi: 10.48550/arxiv.1211.2525 · pith_short_12: JTCVEJX3X7CT · pith_short_16: JTCVEJX3X7CTH3IO · pith_short_8: JTCVEJX3

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/JTCVEJX3X7CTH3IOZVVDJBJISM \
  | 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: 4cc55226fbbfc533ed0ecd6a3485289317bfc831dbbdc76d60a09dc03faaf83b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb3eb3b7c214291d1933e3f0cd11c27686daa67e24553d4d6685e89cca66bf0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-12T07:37:44Z",
    "title_canon_sha256": "17d3aed5358985fbb1196a663254e56b2cc06f9af561ae92390afa3f5cd41b02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2525",
    "kind": "arxiv",
    "version": 4
  }
}