Pith Number

pith:OCYCBVDC

pith:2015:OCYCBVDCK6AGYZECCW5LQBNZQ7

not attested not anchored not stored refs pending

Orbit categories, classifying spaces, and generalized homotopy fixed points

Daniel A. Ramras

arxiv:1507.06112 v5 · 2015-07-22 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCYCBVDCK6AGYZECCW5LQBNZQ7}

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	2026-05-18T00:16:39.239834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b020d46257806c648215bab805b987e4b056bd280c110e37665b3bd1f6f072

Aliases

arxiv: 1507.06112 · arxiv_version: 1507.06112v5 · doi: 10.48550/arxiv.1507.06112 · pith_short_12: OCYCBVDCK6AG · pith_short_16: OCYCBVDCK6AGYZEC · pith_short_8: OCYCBVDC

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/OCYCBVDCK6AGYZECCW5LQBNZQ7 \
  | 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: 70b020d46257806c648215bab805b987e4b056bd280c110e37665b3bd1f6f072

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ed54bd811738c19fa68a82e97978127d0bf7f12caf56a5caedfeb5e9bb90839",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-22T09:31:08Z",
    "title_canon_sha256": "1f784b9954dc0cbb812fe5f8a4c5420f4d6bff358345d2778d5a894d092eb31d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06112",
    "kind": "arxiv",
    "version": 5
  }
}