Pith Number

pith:OMU2HPVF

pith:2026:OMU2HPVFVZXRNMY2ZRXBILFJAN

not attested not anchored not stored refs pending

Outer automorphism groups and the Atiyah Conjecture

Andrew Ng, Sam P. Fisher

arxiv:2606.19606 v1 · 2026-06-17 · 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{OMU2HPVFVZXRNMY2ZRXBILFJAN}

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	2026-06-19T16:12:30.033052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7329a3bea5ae6f16b31acc6e142ca903455c17031cfc8d273c5a2a8f67746e9a

Aliases

arxiv: 2606.19606 · arxiv_version: 2606.19606v1 · doi: 10.48550/arxiv.2606.19606 · pith_short_12: OMU2HPVFVZXR · pith_short_16: OMU2HPVFVZXRNMY2 · pith_short_8: OMU2HPVF

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/OMU2HPVFVZXRNMY2ZRXBILFJAN \
  | 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: 7329a3bea5ae6f16b31acc6e142ca903455c17031cfc8d273c5a2a8f67746e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28278deee865fdb44ac533a64396378e703632c4b30947024cf076798ab3208",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-17T21:18:47Z",
    "title_canon_sha256": "cca1332432214528698066a0cd3b7a40d73a27e9bc62768549aa783a2573412e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19606",
    "kind": "arxiv",
    "version": 1
  }
}