Pith Number

pith:HY6GRPFF

pith:2016:HY6GRPFFHZ2E5YB3YRKGHK3OS2

not attested not anchored not stored refs pending

Hidden Symmetries and Commensurability of 2-Bridge Link Complements

Christian Millichap, William Worden

arxiv:1601.01015 v2 · 2016-01-05 · 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{HY6GRPFFHZ2E5YB3YRKGHK3OS2}

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	2026-05-18T00:56:21.144770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e3c68bca53e744ee03bc45463ab6e96a6a786b94c190e6191c31741b4fdf1f9

Aliases

arxiv: 1601.01015 · arxiv_version: 1601.01015v2 · doi: 10.48550/arxiv.1601.01015 · pith_short_12: HY6GRPFFHZ2E · pith_short_16: HY6GRPFFHZ2E5YB3 · pith_short_8: HY6GRPFF

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/HY6GRPFFHZ2E5YB3YRKGHK3OS2 \
  | 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: 3e3c68bca53e744ee03bc45463ab6e96a6a786b94c190e6191c31741b4fdf1f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f150b7896758e49350216bc1003ecde8c57803c627621e8ce609bbdcf97a4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-05T23:10:39Z",
    "title_canon_sha256": "a1ce3f656dfab751ec429b44fb6112651a31ec8ba2a8537ab8f405fd829f6a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01015",
    "kind": "arxiv",
    "version": 2
  }
}