Pith Number

pith:2GGTLW6V

pith:2025:2GGTLW6VKFSR6SX2IWPOUWGM6Z

not attested not anchored not stored refs pending

Landing rays and ray Cannon-Thurston maps

Mahan Mj, Pranab Sardar, Rakesh Halder

arxiv:2503.17815 v1 · 2025-03-22 · 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{2GGTLW6VKFSR6SX2IWPOUWGM6Z}

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

Hyperbolicity of Multiple Ascending HNN Extensions of Free Groups

Receipt and verification

First computed	2026-07-05T10:37:55.539402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d18d35dbd551651f4afa459eea58ccf6718908575f2c2964a879bae4dd0b3bc5

Aliases

arxiv: 2503.17815 · arxiv_version: 2503.17815v1 · doi: 10.48550/arxiv.2503.17815 · pith_short_12: 2GGTLW6VKFSR · pith_short_16: 2GGTLW6VKFSR6SX2 · pith_short_8: 2GGTLW6V

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/2GGTLW6VKFSR6SX2IWPOUWGM6Z \
  | 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: d18d35dbd551651f4afa459eea58ccf6718908575f2c2964a879bae4dd0b3bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e391f0e1ccbd311514336c86bcc42c6512505b076cbe53ef3fcad0d5f8215969",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-03-22T16:38:00Z",
    "title_canon_sha256": "0ba56b07969209f6301f74c31fa545f0026b72e2e86a4207d3abc778e25ff547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17815",
    "kind": "arxiv",
    "version": 1
  }
}