Pith Number

pith:QDFY457A

pith:2011:QDFY457ADNC4MKU4MPE6PSHMTG

not attested not anchored not stored refs pending

The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary

J\'er\^ome Dubois, Yoshikazu Yamaguchi

arxiv:1107.3283 v3 · 2011-07-17 · 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{QDFY457ADNC4MKU4MPE6PSHMTG}

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	2026-05-18T02:41:50.480180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80cb8e77e01b45c62a9c63c9e7c8ec99bd354b5ff909cb93875d967524a103d0

Aliases

arxiv: 1107.3283 · arxiv_version: 1107.3283v3 · doi: 10.48550/arxiv.1107.3283 · pith_short_12: QDFY457ADNC4 · pith_short_16: QDFY457ADNC4MKU4 · pith_short_8: QDFY457A

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/QDFY457ADNC4MKU4MPE6PSHMTG \
  | 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: 80cb8e77e01b45c62a9c63c9e7c8ec99bd354b5ff909cb93875d967524a103d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "740054d9b0858b8c68c3c429b7a72f71d44daee65f3c09ab50cb724ceffa2ef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-17T08:13:57Z",
    "title_canon_sha256": "8ab86f54687bad534e12cb7cc742ab0de23dae27acfa1b86f9ea5f062a959775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3283",
    "kind": "arxiv",
    "version": 3
  }
}