Pith Number

pith:OBABOVTH

pith:2019:OBABOVTHZB652FAQQPVBUIFPUD

not attested not anchored not stored refs pending

On the $K(1)$-local homotopy of $\mathrm{tmf} \wedge \mathrm{tmf}$

Dominic Leon Culver, Paul VanKoughnett

arxiv:1908.01904 v1 · 2019-08-05 · 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{OBABOVTHZB652FAQQPVBUIFPUD}

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	2026-07-04T23:51:48.919978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7040175667c87ddd141083ea1a20afa0c34da1fb1340d1ebe70961eab5ecf867

Aliases

arxiv: 1908.01904 · arxiv_version: 1908.01904v1 · doi: 10.48550/arxiv.1908.01904 · pith_short_12: OBABOVTHZB65 · pith_short_16: OBABOVTHZB652FAQ · pith_short_8: OBABOVTH

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/OBABOVTHZB652FAQQPVBUIFPUD \
  | 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: 7040175667c87ddd141083ea1a20afa0c34da1fb1340d1ebe70961eab5ecf867

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50eba9395dfc6d1fedb82e965b5c6b2ef50bfb5cf4224d650d1bb6bc9d8a498",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-05T23:44:06Z",
    "title_canon_sha256": "d057f4266465567aeed56432a385b2bf6254844ea812a11b7854f5ac38299081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01904",
    "kind": "arxiv",
    "version": 1
  }
}