Pith Number

pith:G7WRJ6TN

pith:2014:G7WRJ6TNUCTAG42WQ6JIOVFLKO

not attested not anchored not stored refs pending

Twisted Alexander polynomials and incompressible surfaces given by ideal points

Takahiro Kitayama

arxiv:1412.4483 v1 · 2014-12-15 · 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{G7WRJ6TNUCTAG42WQ6JIOVFLKO}

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	2026-05-18T02:31:19.066631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ed14fa6da0a603735687928754ab53aec1205cc6e301db5fe46f238cfeac18

Aliases

arxiv: 1412.4483 · arxiv_version: 1412.4483v1 · doi: 10.48550/arxiv.1412.4483 · pith_short_12: G7WRJ6TNUCTA · pith_short_16: G7WRJ6TNUCTAG42W · pith_short_8: G7WRJ6TN

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/G7WRJ6TNUCTAG42WQ6JIOVFLKO \
  | 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: 37ed14fa6da0a603735687928754ab53aec1205cc6e301db5fe46f238cfeac18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61407cce39d9b2f80e44638b665163caca1487b0e4b493dd28e1a0d3438f4ebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-15T07:31:00Z",
    "title_canon_sha256": "abd12226578d1ecd0545928997a6545292cac4b6efbb8e096b422d70a96db752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4483",
    "kind": "arxiv",
    "version": 1
  }
}