Pith Number

pith:AYLXDPNW

pith:2015:AYLXDPNWTC2WECQWUYUN4GMVEL

not attested not anchored not stored refs pending

Bounded geometry and leaves

Jes\'us A. \'Alvarez L\'opez, Ram\'on Barral Lij\'o

arxiv:1504.06835 v3 · 2015-04-26 · math.GT · 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{AYLXDPNWTC2WECQWUYUN4GMVEL}

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	2026-05-18T00:54:41.645292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

061771bdb698b5620a16a628de199522ec528fafd8af2a5061c3001227b6c487

Aliases

arxiv: 1504.06835 · arxiv_version: 1504.06835v3 · doi: 10.48550/arxiv.1504.06835 · pith_short_12: AYLXDPNWTC2W · pith_short_16: AYLXDPNWTC2WECQW · pith_short_8: AYLXDPNW

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/AYLXDPNWTC2WECQWUYUN4GMVEL \
  | 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: 061771bdb698b5620a16a628de199522ec528fafd8af2a5061c3001227b6c487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9360f8c40f75044e8e5877cf8b801ad2482cd2c5a7f7ee10c7ca14c74052d2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-26T14:54:07Z",
    "title_canon_sha256": "7ed8eedd698cab98bdad7a4800feb8309c00f3f513d6aa3a4dfd4a87b3781667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06835",
    "kind": "arxiv",
    "version": 3
  }
}