Pith Number

pith:O2TMS27Y

pith:2016:O2TMS27Y2KB5J2RAYFGJQ46H2G

not attested not anchored not stored refs pending

Power operations for $\text{H}\underline{\mathbb{F}}_2$ and a cellular construction of $\text{BP}\mathbf{R}$

Dylan Wilson

arxiv:1611.06958 v2 · 2016-11-21 · 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{O2TMS27Y2KB5J2RAYFGJQ46H2G}

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	2026-05-18T00:41:07.734592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a6c96bf8d283d4ea20c14c9873c7d1a08d79e36b332e8fc724aec0b92aaef8

Aliases

arxiv: 1611.06958 · arxiv_version: 1611.06958v2 · doi: 10.48550/arxiv.1611.06958 · pith_short_12: O2TMS27Y2KB5 · pith_short_16: O2TMS27Y2KB5J2RA · pith_short_8: O2TMS27Y

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/O2TMS27Y2KB5J2RAYFGJQ46H2G \
  | 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: 76a6c96bf8d283d4ea20c14c9873c7d1a08d79e36b332e8fc724aec0b92aaef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9075721643d59bcf83723aab34122deab7b82c67e816229beb3041dcdfd2cf03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-11-21T19:14:59Z",
    "title_canon_sha256": "ab13d6be92673324808d400a6a153e358247f544c04570a013a79c13ef4096f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06958",
    "kind": "arxiv",
    "version": 2
  }
}