Pith Number

pith:FG2QMXKR

pith:2015:FG2QMXKRPNKEA24T3ZZRXFL6B4

not attested not anchored not stored refs pending

Addendum to "Singular equivariant asymptotics and Weyl's law"

Pablo Ramacher

arxiv:1507.05611 v2 · 2015-07-20 · math.SP · 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{FG2QMXKRPNKEA24T3ZZRXFL6B4}

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	2026-05-18T01:34:12.628215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29b5065d517b54406b93de731b957e0f05e177acde6ad49c5efd9afbbc15a523

Aliases

arxiv: 1507.05611 · arxiv_version: 1507.05611v2 · doi: 10.48550/arxiv.1507.05611 · pith_short_12: FG2QMXKRPNKE · pith_short_16: FG2QMXKRPNKEA24T · pith_short_8: FG2QMXKR

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/FG2QMXKRPNKEA24T3ZZRXFL6B4 \
  | 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: 29b5065d517b54406b93de731b957e0f05e177acde6ad49c5efd9afbbc15a523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c992e19d50650e4d275be73a842deeca1adc05e6f1ddb735d11713f93bb927f9",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-07-20T20:45:11Z",
    "title_canon_sha256": "0f3988fe7766b0d3391b6068a0e1a75d8e53c350a07ea42864640a241ea53224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05611",
    "kind": "arxiv",
    "version": 2
  }
}