Pith Number

pith:KNS7J34J

pith:2013:KNS7J34JOXBOPU3LKBIABYRK6W

not attested not anchored not stored refs pending

Rational singularities of $G$-saturation

Nham V. Ngo

arxiv:1309.7481 v2 · 2013-09-28 · math.RT · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNS7J34JOXBOPU3LKBIABYRK6W}

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	2026-05-18T01:24:21.882138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5365f4ef8975c2e7d36b505000e22af5a87168e201977879f6cc638926a0b0aa

Aliases

arxiv: 1309.7481 · arxiv_version: 1309.7481v2 · doi: 10.48550/arxiv.1309.7481 · pith_short_12: KNS7J34JOXBO · pith_short_16: KNS7J34JOXBOPU3L · pith_short_8: KNS7J34J

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/KNS7J34JOXBOPU3LKBIABYRK6W \
  | 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: 5365f4ef8975c2e7d36b505000e22af5a87168e201977879f6cc638926a0b0aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da36ca3415a33c3e3b36912f195d809d519acb03793b7dae24514ce9e652274",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-28T17:41:28Z",
    "title_canon_sha256": "e8bcd5daa203bd7abf195e208c050ca1befd5b82b9e10298db7e24c085fc3507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7481",
    "kind": "arxiv",
    "version": 2
  }
}