Pith Number

pith:BSTWXNRU

pith:2013:BSTWXNRUIHTDH2PZ7YTHS4HRUY

not attested not anchored not stored refs pending

Intrinsic metric on graded graphs,standardness,and invariant measures

Anatoly Vershik

arxiv:1312.7239 v1 · 2013-12-27 · math.RT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BSTWXNRUIHTDH2PZ7YTHS4HRUY}

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	2026-05-18T03:03:45.392640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ca76bb63441e633e9f9fe267970f1a62cb4ae5cdb91f9abf99e6a7780ad4eec

Aliases

arxiv: 1312.7239 · arxiv_version: 1312.7239v1 · doi: 10.48550/arxiv.1312.7239 · pith_short_12: BSTWXNRUIHTD · pith_short_16: BSTWXNRUIHTDH2PZ · pith_short_8: BSTWXNRU

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/BSTWXNRUIHTDH2PZ7YTHS4HRUY \
  | 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: 0ca76bb63441e633e9f9fe267970f1a62cb4ae5cdb91f9abf99e6a7780ad4eec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa995787b2320fd7ec50e2553cc21c1a219b5e1320a0ffac3b52e1525f162926",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-27T10:54:43Z",
    "title_canon_sha256": "5920692e92aeac67776deb6f809dc09547f640f2d731a07f0081760e3c0a8b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7239",
    "kind": "arxiv",
    "version": 1
  }
}