Pith Number

pith:HBKF6EI3

pith:2016:HBKF6EI36L3FNUTYIW2UXQOFAP

not attested not anchored not stored refs pending

Braids, orderings and minimal volume cusped hyperbolic 3-manifolds

Dale Rolfsen, Eiko Kin

arxiv:1610.03241 v1 · 2016-10-11 · 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{HBKF6EI36L3FNUTYIW2UXQOFAP}

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	2026-05-18T01:02:35.948646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38545f111bf2f656d27845b54bc1c503f74a93116d569063f4673587079c9b81

Aliases

arxiv: 1610.03241 · arxiv_version: 1610.03241v1 · doi: 10.48550/arxiv.1610.03241 · pith_short_12: HBKF6EI36L3F · pith_short_16: HBKF6EI36L3FNUTY · pith_short_8: HBKF6EI3

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/HBKF6EI36L3FNUTYIW2UXQOFAP \
  | 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: 38545f111bf2f656d27845b54bc1c503f74a93116d569063f4673587079c9b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e50490ca45bc9475425234fcafcbc79b309dcf186284b1a403852029a364cd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-11T09:02:55Z",
    "title_canon_sha256": "aaf3b72fe7e07abe84a8f948085551c92e661b35011c98ec527ad4d40c19356a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03241",
    "kind": "arxiv",
    "version": 1
  }
}