Pith Number

pith:N3ZKPDHY

pith:2016:N3ZKPDHYKHPXELRPMFR6Y7ZM73

not attested not anchored not stored refs pending

On homotopy types of Euclidean Rips complexes

Adrien Vakili, Florian Frick, Michal Adamaszek

arxiv:1602.04131 v1 · 2016-02-12 · math.AT · 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{N3ZKPDHYKHPXELRPMFR6Y7ZM73}

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	2026-05-18T00:20:59.763623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef2a78cf851df722e2f6163ec7f2cfeff610ec282c45de5d6786e5e183773e5

Aliases

arxiv: 1602.04131 · arxiv_version: 1602.04131v1 · doi: 10.48550/arxiv.1602.04131 · pith_short_12: N3ZKPDHYKHPX · pith_short_16: N3ZKPDHYKHPXELRP · pith_short_8: N3ZKPDHY

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/N3ZKPDHYKHPXELRPMFR6Y7ZM73 \
  | 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: 6ef2a78cf851df722e2f6163ec7f2cfeff610ec282c45de5d6786e5e183773e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2820cdd03625290db2489f94e4805d3b4cd13017f54162240a281c2a7aee0b7",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-02-12T17:31:30Z",
    "title_canon_sha256": "1620ce0d35cfb1611f763e209e3f8cfc1f5ca153dce3441b25bde25c6711b81b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04131",
    "kind": "arxiv",
    "version": 1
  }
}