Pith Number

pith:MWSF6OLW

pith:2008:MWSF6OLWWRIGEVA4L36PJK2MQI

not attested not anchored not stored refs pending

RO(S^1)-graded TR-groups of F_p, Z and \ell

Teena Gerhardt, Vigleik Angeltveit

arxiv:0811.1313 v3 · 2008-11-09 · math.AT · 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{MWSF6OLWWRIGEVA4L36PJK2MQI}

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	2026-05-18T04:41:15.471952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a45f3976b45062541c5efcf4ab4c8206a2dca4c78ae6b1f7f3637d7472f7f6

Aliases

arxiv: 0811.1313 · arxiv_version: 0811.1313v3 · doi: 10.48550/arxiv.0811.1313 · pith_short_12: MWSF6OLWWRIG · pith_short_16: MWSF6OLWWRIGEVA4 · pith_short_8: MWSF6OLW

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/MWSF6OLWWRIGEVA4L36PJK2MQI \
  | 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: 65a45f3976b45062541c5efcf4ab4c8206a2dca4c78ae6b1f7f3637d7472f7f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "744cc0fe004553e449f95892b55670cf90ce0e9697404d009c9bded135fab670",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-11-09T21:49:46Z",
    "title_canon_sha256": "b56a746161635e84fd78733997690bedf76d7e27e6b9fe3106b0417d85fd0ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1313",
    "kind": "arxiv",
    "version": 3
  }
}