Pith Number

pith:HI3DYD4D

pith:2013:HI3DYD4DUXZXSUQWXDRBNOKA7D

not attested not anchored not stored refs pending

Homogeneity Groups of Ends of 3-manifolds

Dennis J. Garity, Du\v{s}an Repov\v{s}

arxiv:1307.8109 v1 · 2013-07-30 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HI3DYD4DUXZXSUQWXDRBNOKA7D}

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	2026-05-18T02:37:44.816083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a363c0f83a5f3795216b8e216b940f8eed342a806cd65da715bda543ab1c9dd

Aliases

arxiv: 1307.8109 · arxiv_version: 1307.8109v1 · doi: 10.48550/arxiv.1307.8109 · pith_short_12: HI3DYD4DUXZX · pith_short_16: HI3DYD4DUXZXSUQW · pith_short_8: HI3DYD4D

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/HI3DYD4DUXZXSUQWXDRBNOKA7D \
  | 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: 3a363c0f83a5f3795216b8e216b940f8eed342a806cd65da715bda543ab1c9dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b847e69bf6b58c6cbec8e166e9ccd1216a09d2644895ab23966cd45433e617",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-30T19:56:04Z",
    "title_canon_sha256": "e4833d034de7b7357d78d742ecf13b537fe2a070622e3bd3e8edaebd3938fe90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8109",
    "kind": "arxiv",
    "version": 1
  }
}