Pith Number

pith:U75YJ2XU

pith:2015:U75YJ2XUYHUTP42O5S2WGO5LOD

not attested not anchored not stored refs pending

Algebraic Ending Laminations and Quasiconvexity

Kasra Rafi, Mahan Mj

arxiv:1506.08036 v3 · 2015-06-26 · 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{U75YJ2XUYHUTP42O5S2WGO5LOD}

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	2026-05-18T00:17:09.712043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7fb84eaf4c1e937f34eecb5633bab70d35f3591760fdf39508904ecbebf69fa

Aliases

arxiv: 1506.08036 · arxiv_version: 1506.08036v3 · doi: 10.48550/arxiv.1506.08036 · pith_short_12: U75YJ2XUYHUT · pith_short_16: U75YJ2XUYHUTP42O · pith_short_8: U75YJ2XU

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/U75YJ2XUYHUTP42O5S2WGO5LOD \
  | 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: a7fb84eaf4c1e937f34eecb5633bab70d35f3591760fdf39508904ecbebf69fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab8defcedb163563d186e9fa0ed2cb4b18a64644d64d7454d0f76a8e9ad7851b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-26T11:49:31Z",
    "title_canon_sha256": "4d39fade9743924bb3cb330a4732d936268ddb87ae6be7ba3a6911bed29dc2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08036",
    "kind": "arxiv",
    "version": 3
  }
}