Pith Number

pith:FVMBJC6K

pith:2025:FVMBJC6KPZD7WX4OWQ75GKA4MG

not attested not anchored not stored refs pending

From disc patterns in the plane to character varieties of knot groups

Alex Elzenaar

arxiv:2503.13829 v3 · 2025-03-18 · math.GT · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVMBJC6KPZD7WX4OWQ75GKA4MG}

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

On rank two Kleinian groups with three parabolics

Receipt and verification

First computed	2026-07-05T12:01:21.318873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d58148bca7e47fb5f8eb43fd3281c61a9d0f4e300b66436a297bddcfa2c678b

Aliases

arxiv: 2503.13829 · arxiv_version: 2503.13829v3 · doi: 10.48550/arxiv.2503.13829 · pith_short_12: FVMBJC6KPZD7 · pith_short_16: FVMBJC6KPZD7WX4O · pith_short_8: FVMBJC6K

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/FVMBJC6KPZD7WX4OWQ75GKA4MG \
  | 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: 2d58148bca7e47fb5f8eb43fd3281c61a9d0f4e300b66436a297bddcfa2c678b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17d09294761324f8c85249bf5473a5b40aefe9c0407d74c96733f566bcf61660",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-03-18T02:11:05Z",
    "title_canon_sha256": "61bd88b43c3dde006f616641eecf67c3c72347286419fe65614d1ae8a12e3cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.13829",
    "kind": "arxiv",
    "version": 3
  }
}