Pith Number

pith:42FTM6CD

pith:2014:42FTM6CDWCOJCK5FTB5ADCEWQJ

not attested not anchored not stored refs pending

Laver's results and low-dimensional topology

Patrick Dehornoy (LMNO, PPS)

arxiv:1401.3302 v1 · 2014-01-14 · 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{42FTM6CDWCOJCK5FTB5ADCEWQJ}

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	2026-05-18T03:02:18.861022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68b367843b09c912ba5987a018896824d399e61b9ba3e26dc647019d65b31b6

Aliases

arxiv: 1401.3302 · arxiv_version: 1401.3302v1 · doi: 10.48550/arxiv.1401.3302 · pith_short_12: 42FTM6CDWCOJ · pith_short_16: 42FTM6CDWCOJCK5F · pith_short_8: 42FTM6CD

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/42FTM6CDWCOJCK5FTB5ADCEWQJ \
  | 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: e68b367843b09c912ba5987a018896824d399e61b9ba3e26dc647019d65b31b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd8dbd7f1536c52a6036ee0108104c66e0334f5324e2eabfbc4f05c1ea3a560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-14T19:37:22Z",
    "title_canon_sha256": "24192fe3af7fb6adc07605ea05c5025e1c5c6b5c7d1c6266221e5c542b6a99e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3302",
    "kind": "arxiv",
    "version": 1
  }
}