Pith Number

pith:HC4HDLDB

pith:2012:HC4HDLDB4XXQLJUAZDVMT3HONE

not attested not anchored not stored refs pending

Mixed 3-manifolds are virtually special

Daniel T. Wise, Piotr Przytycki

arxiv:1205.6742 v2 · 2012-05-30 · math.GR · 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{HC4HDLDB4XXQLJUAZDVMT3HONE}

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	2026-05-18T03:17:44.726456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b871ac61e5ef05a680c8eac9ecee69012f2b382df832c4987da5b79326c75b

Aliases

arxiv: 1205.6742 · arxiv_version: 1205.6742v2 · doi: 10.48550/arxiv.1205.6742 · pith_short_12: HC4HDLDB4XXQ · pith_short_16: HC4HDLDB4XXQLJUA · pith_short_8: HC4HDLDB

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/HC4HDLDB4XXQLJUAZDVMT3HONE \
  | 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: 38b871ac61e5ef05a680c8eac9ecee69012f2b382df832c4987da5b79326c75b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25485c871ee9bfe22ab80110ae97cf3742e1055fac25e521c9fa0f4ac2df3798",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-30T16:13:41Z",
    "title_canon_sha256": "3324899e212256ee1ed851fe708d95e336b45aaea5fcd1d0a8839a4503a40065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6742",
    "kind": "arxiv",
    "version": 2
  }
}