Pith Number

pith:4J5GAH7J

pith:2015:4J5GAH7J6UXCHQFEC6HIO553MP

not attested not anchored not stored refs pending

Nonabelian representations and signatures of double twist knots

Anh T. Tran

arxiv:1507.05241 v1 · 2015-07-19 · 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{4J5GAH7J6UXCHQFEC6HIO553MP}

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	2026-05-18T01:36:37.439967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27a601fe9f52e23c0a4178e8777bb63cdb0add211b246c758d0bdb377ebe8fb

Aliases

arxiv: 1507.05241 · arxiv_version: 1507.05241v1 · doi: 10.48550/arxiv.1507.05241 · pith_short_12: 4J5GAH7J6UXC · pith_short_16: 4J5GAH7J6UXCHQFE · pith_short_8: 4J5GAH7J

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/4J5GAH7J6UXCHQFEC6HIO553MP \
  | 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: e27a601fe9f52e23c0a4178e8777bb63cdb0add211b246c758d0bdb377ebe8fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e075774f10b4c0ddcbbfca7949cccb42a093da19a9a6346991accf693b6d5a26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-19T02:58:48Z",
    "title_canon_sha256": "e59c0e72a130ac32f53ed4227a7396cbf58bd1211e5fec45715fa5b9a51abedb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05241",
    "kind": "arxiv",
    "version": 1
  }
}