Pith Number

pith:HZBP3NIC

pith:2017:HZBP3NICDCN5DF2NHGJEKAQRCW

not attested not anchored not stored refs pending

Proper homotopy types and Z-boundaries of spaces admitting geometric group actions

Craig R. Guilbault, Molly A. Moran

arxiv:1707.07760 v2 · 2017-07-24 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZBP3NICDCN5DF2NHGJEKAQRCW}

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	2026-05-18T00:26:36.683795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e42fdb502189bd1974d39924502111581e96c97e9443b01039d6870bac0557b

Aliases

arxiv: 1707.07760 · arxiv_version: 1707.07760v2 · doi: 10.48550/arxiv.1707.07760 · pith_short_12: HZBP3NICDCN5 · pith_short_16: HZBP3NICDCN5DF2N · pith_short_8: HZBP3NIC

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/HZBP3NICDCN5DF2NHGJEKAQRCW \
  | 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: 3e42fdb502189bd1974d39924502111581e96c97e9443b01039d6870bac0557b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d9e7167635159d21e5a7b1acc28e3145d7af0a9f8e29ececea95ae9d2d4fa31",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-24T22:13:40Z",
    "title_canon_sha256": "56e93b832e1938344012cd0d9dc1499bee3b75c3e17490617fa278c16646075f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07760",
    "kind": "arxiv",
    "version": 2
  }
}