Pith Number

pith:ZFISQRNT

pith:2019:ZFISQRNT3GE75NUPMMAKV5KKXF

not attested not anchored not stored refs pending

Freeness and equivariant stable homotopy

Michael A. Hill

arxiv:1910.00664 v2 · 2019-10-01 · 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{ZFISQRNT3GE75NUPMMAKV5KKXF}

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.

Cited by

1 paper in Pith

Conjugation Spaces are Cohomologically Pure

Receipt and verification

First computed	2026-07-05T03:52:53.075309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9512845b3d989feb68f6300aaf54ab945d2ebbb0f9cbddd47a8bb5b5be940f8

Aliases

arxiv: 1910.00664 · arxiv_version: 1910.00664v2 · doi: 10.48550/arxiv.1910.00664 · pith_short_12: ZFISQRNT3GE7 · pith_short_16: ZFISQRNT3GE75NUP · pith_short_8: ZFISQRNT

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/ZFISQRNT3GE75NUPMMAKV5KKXF \
  | 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: c9512845b3d989feb68f6300aaf54ab945d2ebbb0f9cbddd47a8bb5b5be940f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26a1d73a6bbe25e12a2c23a2905d5ec870dc09c0926ddb9b1f3fa271f22502a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-10-01T20:55:42Z",
    "title_canon_sha256": "df6703b801f01dcb700f18506a6249403a3faaf5145b2b80fdc4984e343af573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.00664",
    "kind": "arxiv",
    "version": 2
  }
}