Pith Number

pith:IVZRVUPS

pith:2016:IVZRVUPSH5SU6VKYOGS27EU7SK

not attested not anchored not stored refs pending

A new algorithm for 3-sphere recognition

Michael Heusener, Raphael Zentner

arxiv:1610.04092 v2 · 2016-10-13 · 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{IVZRVUPSH5SU6VKYOGS27EU7SK}

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	2026-05-18T01:02:20.290286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45731ad1f23f654f555871a5af929f92bee34b0db3a4551fdbb17de1c19dd2d7

Aliases

arxiv: 1610.04092 · arxiv_version: 1610.04092v2 · doi: 10.48550/arxiv.1610.04092 · pith_short_12: IVZRVUPSH5SU · pith_short_16: IVZRVUPSH5SU6VKY · pith_short_8: IVZRVUPS

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/IVZRVUPSH5SU6VKYOGS27EU7SK \
  | 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: 45731ad1f23f654f555871a5af929f92bee34b0db3a4551fdbb17de1c19dd2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c13c124a86de21be2b6a33b84c555ed9cc75cede46c9fc548434b6b2df0a2c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-13T14:11:12Z",
    "title_canon_sha256": "d174fe4e62f67fb101861148565848c06112a4052098db7541dafc8568df9047"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04092",
    "kind": "arxiv",
    "version": 2
  }
}