Pith Number

pith:LA7BDDAG

pith:2012:LA7BDDAG4LFVDNESUM2TMYWJPE

not attested not anchored not stored refs pending

Harmonic cochains and K-theory for $\widetilde A_2$ groups

Guyan Robertson

arxiv:1209.5590 v1 · 2012-09-25 · math.OA · math.GR · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA7BDDAG4LFVDNESUM2TMYWJPE}

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	2026-05-18T02:46:31.519534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

583e118c06e2cb51b492a3353662c97910358216d211050a594b64545afecf2a

Aliases

arxiv: 1209.5590 · arxiv_version: 1209.5590v1 · doi: 10.48550/arxiv.1209.5590 · pith_short_12: LA7BDDAG4LFV · pith_short_16: LA7BDDAG4LFVDNES · pith_short_8: LA7BDDAG

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/LA7BDDAG4LFVDNESUM2TMYWJPE \
  | 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: 583e118c06e2cb51b492a3353662c97910358216d211050a594b64545afecf2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82100de986f9d602cc1d062b56c538724548d8c30a2b62d21c2eab58832b2811",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-25T12:33:04Z",
    "title_canon_sha256": "0f8a8fe71bff6da92b31d692af05f3e28a29418caa944fea458f05d31e88c231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5590",
    "kind": "arxiv",
    "version": 1
  }
}