Pith Number

pith:DTBF6YOF

pith:2005:DTBF6YOFSHHCBE2JH6LZ763QFZ

not attested not anchored not stored refs pending

Twisted Alexander polynomials and surjectivity of a group homomorphism

Masaaki Suzuki, Masaaki Wada, Teruaki Kitano

arxiv:math/0510224 v1 · 2005-10-11 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTBF6YOFSHHCBE2JH6LZ763QFZ}

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	2026-05-18T02:41:31.987789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cc25f61c591ce2093493f979ffb702e67ba67d5da6f3b95011fe0523af82c2d

Aliases

arxiv: math/0510224 · arxiv_version: math/0510224v1 · doi: 10.48550/arxiv.math/0510224 · pith_short_12: DTBF6YOFSHHC · pith_short_16: DTBF6YOFSHHCBE2J · pith_short_8: DTBF6YOF

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/DTBF6YOFSHHCBE2JH6LZ763QFZ \
  | 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: 1cc25f61c591ce2093493f979ffb702e67ba67d5da6f3b95011fe0523af82c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38fad470cb95a6e3fce2a68c89d78ebaeb773ab19d933556e38728f93f18c656",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-10-11T13:37:48Z",
    "title_canon_sha256": "706fcf0808613569826ac4222307dd32083038a4696ea93e90247617dc5fde52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510224",
    "kind": "arxiv",
    "version": 1
  }
}