Pith Number

pith:BQNMSKKA

pith:2015:BQNMSKKAPNKY4K27N4BEH72W7V

not attested not anchored not stored refs pending

Profinite rigidity for Seifert fibre spaces

Gareth Wilkes

arxiv:1512.05587 v1 · 2015-12-17 · 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{BQNMSKKAPNKY4K27N4BEH72W7V}

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	2026-05-18T01:24:09.722831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c1ac929407b558e2b5f6f0243ff56fd5d54f783aa1ebfe1ec034f3e7f252206

Aliases

arxiv: 1512.05587 · arxiv_version: 1512.05587v1 · doi: 10.48550/arxiv.1512.05587 · pith_short_12: BQNMSKKAPNKY · pith_short_16: BQNMSKKAPNKY4K27 · pith_short_8: BQNMSKKA

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/BQNMSKKAPNKY4K27N4BEH72W7V \
  | 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: 0c1ac929407b558e2b5f6f0243ff56fd5d54f783aa1ebfe1ec034f3e7f252206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9560f69a9117cea5fe82637f2b1ec50abac9b85db33e6bb4ff6868ecf50b99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-17T14:05:22Z",
    "title_canon_sha256": "fbcaa02f1b869cfb9c07e01143b2347759ac71be41c0500167b9e7e273d45d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05587",
    "kind": "arxiv",
    "version": 1
  }
}