Pith Number

pith:NNC425TX

pith:2011:NNC425TX5TVI7GI2K6KYGO3DSZ

not attested not anchored not stored refs pending

On zeros of the Alexander polynomial of an alternating knot

Kunio Murasugi, Lilya Lyubich

arxiv:1102.0701 v1 · 2011-02-03 · 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{NNC425TX5TVI7GI2K6KYGO3DSZ}

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	2026-05-18T04:30:04.189690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b45cd7677ecea8f991a5795833b63966e16f73a6408c47c356d1f70cef1c4a4

Aliases

arxiv: 1102.0701 · arxiv_version: 1102.0701v1 · doi: 10.48550/arxiv.1102.0701 · pith_short_12: NNC425TX5TVI · pith_short_16: NNC425TX5TVI7GI2 · pith_short_8: NNC425TX

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/NNC425TX5TVI7GI2K6KYGO3DSZ \
  | 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: 6b45cd7677ecea8f991a5795833b63966e16f73a6408c47c356d1f70cef1c4a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aebd68e96b8f1fcbd15f43c8a65ec2e6b428ddc222b578955fef1b041fc6d1fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-03T15:25:32Z",
    "title_canon_sha256": "ae0711c9d9de9386d71b0acda943a5551dc5f639232bfa03e6eff9a6d71d2009"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0701",
    "kind": "arxiv",
    "version": 1
  }
}