Pith Number

pith:6NJTDDLE

pith:2019:6NJTDDLEK6Q45CI4BFI2Z2DP37

not attested not anchored not stored refs pending

Twisted Alexander polynomials of torus links

Anh T. Tran, Takayuki Morifuji, Teruaki Kitano

arxiv:1904.08026 v1 · 2019-04-17 · 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{6NJTDDLEK6Q45CI4BFI2Z2DP37}

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	2026-05-17T23:48:19.041993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f353318d6457a1ce891c0951ace86fdfcf202127a9dca371cc32d25540a174af

Aliases

arxiv: 1904.08026 · arxiv_version: 1904.08026v1 · doi: 10.48550/arxiv.1904.08026 · pith_short_12: 6NJTDDLEK6Q4 · pith_short_16: 6NJTDDLEK6Q45CI4 · pith_short_8: 6NJTDDLE

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/6NJTDDLEK6Q45CI4BFI2Z2DP37 \
  | 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: f353318d6457a1ce891c0951ace86fdfcf202127a9dca371cc32d25540a174af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f52a8d48656bc468b786c2af6f8044fefae3fa2d7a4e5f425a739ffa11ae42bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-17T00:18:28Z",
    "title_canon_sha256": "180a9493b4942c7cbd718ac6ec7b65001b0baaafe408161bedce59dbf52e7189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08026",
    "kind": "arxiv",
    "version": 1
  }
}