Pith Number

pith:RXZV7JF3

pith:2015:RXZV7JF34O7LJI5NWJRTOUG56K

not attested not anchored not stored refs pending

On the Vergne conjecture

Peter Hochs, Yanli Song

arxiv:1509.02425 v1 · 2015-09-08 · math.SG · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXZV7JF34O7LJI5NWJRTOUG56K}

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	2026-05-18T01:33:40.919518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df35fa4bbe3beb4a3adb2633750ddf2b015652f8b64449b4d1564e0a86e45c2

Aliases

arxiv: 1509.02425 · arxiv_version: 1509.02425v1 · doi: 10.48550/arxiv.1509.02425 · pith_short_12: RXZV7JF34O7L · pith_short_16: RXZV7JF34O7LJI5N · pith_short_8: RXZV7JF3

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/RXZV7JF34O7LJI5NWJRTOUG56K \
  | 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: 8df35fa4bbe3beb4a3adb2633750ddf2b015652f8b64449b4d1564e0a86e45c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfdbea4d20f43fd668dd83fd2b11ed758c9f8254db8cf834f92cf560f32b7487",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-09-08T15:57:20Z",
    "title_canon_sha256": "cf11a484256f3151b0a744b1b50a26c9ce3aff9cbfdb376b3c10cdba4e8ddd53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02425",
    "kind": "arxiv",
    "version": 1
  }
}