Pith Number

pith:5OOPWH36

pith:2017:5OOPWH36SNICNJ3TFFCXJC572A

not attested not anchored not stored refs pending

The Birman-Hilden theory

Dan Margalit, Rebecca R. Winarski

arxiv:1703.03448 v1 · 2017-03-09 · 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{5OOPWH36SNICNJ3TFFCXJC572A}

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.

Cited by

1 paper in Pith

Fractional Dehn twist coefficients and rank bounds for categorified link invariants

Receipt and verification

First computed	2026-07-05T02:13:40.660125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9cfb1f7e935026a7732945748bbfd036ea79038c155f302c981a973b31a418

Aliases

arxiv: 1703.03448 · arxiv_version: 1703.03448v1 · doi: 10.48550/arxiv.1703.03448 · pith_short_12: 5OOPWH36SNIC · pith_short_16: 5OOPWH36SNICNJ3T · pith_short_8: 5OOPWH36

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/5OOPWH36SNICNJ3TFFCXJC572A \
  | 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: eb9cfb1f7e935026a7732945748bbfd036ea79038c155f302c981a973b31a418

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0259dd2a4d1074ddebabe010ca7650233f069325e6954c8c2778f8cd401e8a3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-03-09T20:02:52Z",
    "title_canon_sha256": "d829ef1062b610612b845df5c8c420c5f153bbddffed5a5954faa77f05cea27a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03448",
    "kind": "arxiv",
    "version": 1
  }
}