Pith Number

pith:Y5ZYXZOS

pith:2015:Y5ZYXZOSFMWM3ENLEITWWZ2SW4

not attested not anchored not stored refs pending

An equivariant index for proper actions I

Peter Hochs, Yanli Song

arxiv:1512.07575 v3 · 2015-12-23 · math.KT · math.DG · math.OA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5ZYXZOSFMWM3ENLEITWWZ2SW4}

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	2026-05-18T01:06:21.037666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7738be5d22b2ccd91ab22276b6752b70a112d1e183bc37e76cdebfd1c55e00b

Aliases

arxiv: 1512.07575 · arxiv_version: 1512.07575v3 · doi: 10.48550/arxiv.1512.07575 · pith_short_12: Y5ZYXZOSFMWM · pith_short_16: Y5ZYXZOSFMWM3ENL · pith_short_8: Y5ZYXZOS

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/Y5ZYXZOSFMWM3ENLEITWWZ2SW4 \
  | 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: c7738be5d22b2ccd91ab22276b6752b70a112d1e183bc37e76cdebfd1c55e00b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92796b9baec2a7e61608f98bc4a38122bd22f41dc8310c64871ada37383b1c91",
    "cross_cats_sorted": [
      "math.DG",
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-12-23T18:31:01Z",
    "title_canon_sha256": "88b0fba0adee7a76536ea769e5f05a63f339d528945f5e340c1e551b22c552d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07575",
    "kind": "arxiv",
    "version": 3
  }
}