Pith Number

pith:CNKLOU2J

pith:2015:CNKLOU2JJIG6Y2MZMUB2IH5ZDL

not attested not anchored not stored refs pending

Profinite rigidity, fibering, and the figure-eight knot

Alan W Reid, Martin R Bridson

arxiv:1505.07886 v1 · 2015-05-28 · 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{CNKLOU2JJIG6Y2MZMUB2IH5ZDL}

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	2026-05-18T02:00:00.385142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1354b753494a0dec69996503a41fb91afe22b935646f65ade69b408db7c3ebf2

Aliases

arxiv: 1505.07886 · arxiv_version: 1505.07886v1 · doi: 10.48550/arxiv.1505.07886 · pith_short_12: CNKLOU2JJIG6 · pith_short_16: CNKLOU2JJIG6Y2MZ · pith_short_8: CNKLOU2J

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/CNKLOU2JJIG6Y2MZMUB2IH5ZDL \
  | 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: 1354b753494a0dec69996503a41fb91afe22b935646f65ade69b408db7c3ebf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c34bd36be42aa8b59f730455a3ca1ad4534d96a8fd5fe3a75d56ac3928a07c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-28T23:35:30Z",
    "title_canon_sha256": "72f4917ce71c691ed8ebb84e5f726da60a5109bafddd749598a26f522a90bc07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07886",
    "kind": "arxiv",
    "version": 1
  }
}