Pith Number

pith:FX3QKK2R

pith:2011:FX3QKK2RLGNVGNDMRTBAHAF6NM

not attested not anchored not stored refs pending

Bimonoidal operad-actions and the product in negative Tate-cohomology

Pelle Salomonsson

arxiv:1108.1453 v2 · 2011-08-06 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FX3QKK2RLGNVGNDMRTBAHAF6NM}

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	2026-05-18T04:15:06.372700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df7052b51599b53346c8cc20380be6b338c54e27a531b552e0ce80b14088631

Aliases

arxiv: 1108.1453 · arxiv_version: 1108.1453v2 · doi: 10.48550/arxiv.1108.1453 · pith_short_12: FX3QKK2RLGNV · pith_short_16: FX3QKK2RLGNVGNDM · pith_short_8: FX3QKK2R

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/FX3QKK2RLGNVGNDMRTBAHAF6NM \
  | 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: 2df7052b51599b53346c8cc20380be6b338c54e27a531b552e0ce80b14088631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd98dcb92e0fc7619ffed88ddf2bda9f9bc0eba9e50b4632dbd3704e390fca1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-08-06T05:41:11Z",
    "title_canon_sha256": "ecb67be5c9986961bf0a685d0b33b9a27f2e7d240a9f913c779da0d59cf6bd1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1453",
    "kind": "arxiv",
    "version": 2
  }
}