Pith Number

pith:SDAJOHTA

pith:2011:SDAJOHTACCOEZMAGJ6V7VFZVK6

not attested not anchored not stored refs pending

Harish-Chandra's volume formula via Weyl's Law and Euler-Maclaurin formula

Seunghun Hong

arxiv:1111.2749 v2 · 2011-11-10 · math.RT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDAJOHTACCOEZMAGJ6V7VFZVK6}

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	2026-05-18T01:17:26.363706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90c0971e60109c4cb0064fabfa973557a938fc159165c1d4a1354d64d32ca054

Aliases

arxiv: 1111.2749 · arxiv_version: 1111.2749v2 · doi: 10.48550/arxiv.1111.2749 · pith_short_12: SDAJOHTACCOE · pith_short_16: SDAJOHTACCOEZMAG · pith_short_8: SDAJOHTA

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/SDAJOHTACCOEZMAGJ6V7VFZVK6 \
  | 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: 90c0971e60109c4cb0064fabfa973557a938fc159165c1d4a1354d64d32ca054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "405fba40b2bf82c7ae1480fa514cfc4bd27ec33ea4debc2c94913f095213d6eb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-11-10T20:59:19Z",
    "title_canon_sha256": "b1c40098485eca36ee82b66f25a5103d0a5add962a27fbc2e2f833a2af7a2be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2749",
    "kind": "arxiv",
    "version": 2
  }
}