Pith Number

pith:2G5I5OP4

pith:2017:2G5I5OP4QKIWQD7AQIVV7TARAS

not attested not anchored not stored refs pending

The asymptotic volume of diagonal subpolytopes of symmetric stochastic matrices

J. de Jong, R. Wulkenhaar

arxiv:1701.07719 v3 · 2017-01-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2G5I5OP4QKIWQD7AQIVV7TARAS}

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	2026-05-18T00:42:17.439432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ba8eb9fc8291680fe0822b5fcc110489e757bbb3c2ff0893578a67aafe0306

Aliases

arxiv: 1701.07719 · arxiv_version: 1701.07719v3 · doi: 10.48550/arxiv.1701.07719 · pith_short_12: 2G5I5OP4QKIW · pith_short_16: 2G5I5OP4QKIWQD7A · pith_short_8: 2G5I5OP4

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/2G5I5OP4QKIWQD7AQIVV7TARAS \
  | 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: d1ba8eb9fc8291680fe0822b5fcc110489e757bbb3c2ff0893578a67aafe0306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d586bd330b96dc8008e0b5eca7de1858a3b542cdffad49efca3798dd805531",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-26T14:36:27Z",
    "title_canon_sha256": "e357a884e33d117fa7e1f70deac141106307f96058318a4aaf8fc66d9e37b4d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07719",
    "kind": "arxiv",
    "version": 3
  }
}