Pith Number

pith:FT56RZAD

pith:2009:FT56RZAD55YNJQHZQNL6FH6DTE

not attested not anchored not stored refs pending

On the Tate spectrum of tmf at the prime 2

Nicolas Ricka, Scott M. Bailey

arxiv:0904.3687 v3 · 2009-04-23 · 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{FT56RZAD55YNJQHZQNL6FH6DTE}

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	2026-05-18T00:53:21.450767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cfbe8e403ef70d4c0f98357e29fc39938182f3859b6d77ccbbb89390c765a57

Aliases

arxiv: 0904.3687 · arxiv_version: 0904.3687v3 · doi: 10.48550/arxiv.0904.3687 · pith_short_12: FT56RZAD55YN · pith_short_16: FT56RZAD55YNJQHZ · pith_short_8: FT56RZAD

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/FT56RZAD55YNJQHZQNL6FH6DTE \
  | 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: 2cfbe8e403ef70d4c0f98357e29fc39938182f3859b6d77ccbbb89390c765a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eeaa99afb30623c2274bac893822204aa116534b858b87098ac964c4652ceff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-04-23T13:16:39Z",
    "title_canon_sha256": "d91d13955ff4a31553f9a7a977a3bf76e87632a293ed8cf89081f60fbff2c7d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3687",
    "kind": "arxiv",
    "version": 3
  }
}