Pith Number

pith:3KQM6F3O

pith:2012:3KQM6F3OFPGHYEWT7NQKWQ52FI

not attested not anchored not stored refs pending

Springer Isomorphisms In Characteristic $p$

Paul Sobaje

arxiv:1210.4629 v4 · 2012-10-17 · math.RT · math.AG · 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{3KQM6F3OFPGHYEWT7NQKWQ52FI}

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	2026-05-18T01:41:58.358126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa0cf176e2bcc7c12d3fb60ab43ba2a0e9248fbfbbc915f964584b76b9e1a09

Aliases

arxiv: 1210.4629 · arxiv_version: 1210.4629v4 · doi: 10.48550/arxiv.1210.4629 · pith_short_12: 3KQM6F3OFPGH · pith_short_16: 3KQM6F3OFPGHYEWT · pith_short_8: 3KQM6F3O

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/3KQM6F3OFPGHYEWT7NQKWQ52FI \
  | 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: daa0cf176e2bcc7c12d3fb60ab43ba2a0e9248fbfbbc915f964584b76b9e1a09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89e5907a6a14a7e3a495c8a0351ec8a7cfc865c462cbc410f5728ae0503df540",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-10-17T05:26:20Z",
    "title_canon_sha256": "4b59eaa56c8aefb01d9d926cc5289401c2671e390d208df5b9a736f27ca6f694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4629",
    "kind": "arxiv",
    "version": 4
  }
}