Pith Number

pith:KPLWIKPY

pith:2017:KPLWIKPYRWLVOVPVJF3F4ZPHHM

not attested not anchored not stored refs pending

Knot polynomials from 1-cocycles

Thomas Fiedler

arxiv:1709.10332 v5 · 2017-09-28 · 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{KPLWIKPYRWLVOVPVJF3F4ZPHHM}

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	2026-05-17T23:56:15.460479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d76429f88d975755f549765e65e73b1946b0d9b998e830c039bc8d16fadce8

Aliases

arxiv: 1709.10332 · arxiv_version: 1709.10332v5 · doi: 10.48550/arxiv.1709.10332 · pith_short_12: KPLWIKPYRWLV · pith_short_16: KPLWIKPYRWLVOVPV · pith_short_8: KPLWIKPY

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/KPLWIKPYRWLVOVPVJF3F4ZPHHM \
  | 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: 53d76429f88d975755f549765e65e73b1946b0d9b998e830c039bc8d16fadce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322daff6d6747948641c12fec9b2f6c48a60cbf10ef5d775000e19e92e2dfd69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-28T17:41:53Z",
    "title_canon_sha256": "7756300bbc3ccea6c179a7f283c283a51c7d00e8f614666b0b97f8c6d605893d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10332",
    "kind": "arxiv",
    "version": 5
  }
}