Pith Number

pith:LVQC72ZI

pith:2016:LVQC72ZILUX2CNI6WOG2VUPBFZ

not attested not anchored not stored refs pending

Higher dimensional twisted Alexander polynomials for metabelian representations

Anh T. Tran, Yoshikazu Yamaguchi

arxiv:1608.05525 v1 · 2016-08-19 · 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{LVQC72ZILUX2CNI6WOG2VUPBFZ}

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	2026-05-18T01:08:28.266425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d602feb285d2fa1351eb38daad1e12e4a97b06f2cfe1ad90611710cdaa0debc

Aliases

arxiv: 1608.05525 · arxiv_version: 1608.05525v1 · doi: 10.48550/arxiv.1608.05525 · pith_short_12: LVQC72ZILUX2 · pith_short_16: LVQC72ZILUX2CNI6 · pith_short_8: LVQC72ZI

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/LVQC72ZILUX2CNI6WOG2VUPBFZ \
  | 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: 5d602feb285d2fa1351eb38daad1e12e4a97b06f2cfe1ad90611710cdaa0debc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63fd1aaed2e76a24c01d43187c87a865b701c45e771aa110db00ac3469480cf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-19T08:21:03Z",
    "title_canon_sha256": "17b932b69dfc34105498b767845490ffe1df61b587138ecb7c310b63ea1134ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05525",
    "kind": "arxiv",
    "version": 1
  }
}