Pith Number

pith:4JJVJX6A

pith:2015:4JJVJX6AWMILH572MB7LNTXO4O

not attested not anchored not stored refs pending

Introduction to twisted Alexander polynomials and related topics

Teruaki Kitano

arxiv:1510.03216 v6 · 2015-10-12 · 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{4JJVJX6AWMILH572MB7LNTXO4O}

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	2026-05-18T01:22:47.943093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25354dfc0b310b3f7fa607eb6ceeee39e2a3b0351e38aea48515dbbaf2fb15e

Aliases

arxiv: 1510.03216 · arxiv_version: 1510.03216v6 · doi: 10.48550/arxiv.1510.03216 · pith_short_12: 4JJVJX6AWMIL · pith_short_16: 4JJVJX6AWMILH572 · pith_short_8: 4JJVJX6A

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/4JJVJX6AWMILH572MB7LNTXO4O \
  | 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: e25354dfc0b310b3f7fa607eb6ceeee39e2a3b0351e38aea48515dbbaf2fb15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f54457ae21cd3ec324bb08b15104dce3589e4a4fadf0283c495194579ea814df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-12T10:40:08Z",
    "title_canon_sha256": "efabb0793059828aadb07bdecfebe9ac9883db359f54b49bf31fa6c640549f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03216",
    "kind": "arxiv",
    "version": 6
  }
}