Pith Number

pith:ME5B5625

pith:2013:ME5B56257AAYDGI7Z2VH7ATP2L

not attested not anchored not stored refs pending

Mixing in high-dimensional expanders

Ori Parzanchevski

arxiv:1310.6477 v1 · 2013-10-24 · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ME5B56257AAYDGI7Z2VH7ATP2L}

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	2026-05-18T00:18:56.261921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

613a1efb5df80181991fceaa7f826fd2dffb2af7326231bf90d6a7960fe69bdf

Aliases

arxiv: 1310.6477 · arxiv_version: 1310.6477v1 · doi: 10.48550/arxiv.1310.6477 · pith_short_12: ME5B56257AAY · pith_short_16: ME5B56257AAYDGI7 · pith_short_8: ME5B5625

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/ME5B56257AAYDGI7Z2VH7ATP2L \
  | 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: 613a1efb5df80181991fceaa7f826fd2dffb2af7326231bf90d6a7960fe69bdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e8977e1505941d73b7d0530101eac31b1b51a105df812e79a69ea12085c8f1",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-24T04:06:22Z",
    "title_canon_sha256": "b0cdcb822457100e51e80b0d5fe471f5cfd3f5723e8cee6bbcbc611ef8a34f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6477",
    "kind": "arxiv",
    "version": 1
  }
}