Pith Number

pith:UGNU4D5W

pith:2012:UGNU4D5WVK34JZG2QLIOWDY23Q

not attested not anchored not stored refs pending

Spectral multipliers for wave operators

Christoph Kriegler

arxiv:1210.4261 v1 · 2012-10-16 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGNU4D5WVK34JZG2QLIOWDY23Q}

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	2026-05-18T03:43:06.487596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19b4e0fb6aab7c4e4da82d0eb0f1adc357e73faa7c33184d247a96682f079fe

Aliases

arxiv: 1210.4261 · arxiv_version: 1210.4261v1 · doi: 10.48550/arxiv.1210.4261 · pith_short_12: UGNU4D5WVK34 · pith_short_16: UGNU4D5WVK34JZG2 · pith_short_8: UGNU4D5W

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/UGNU4D5WVK34JZG2QLIOWDY23Q \
  | 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: a19b4e0fb6aab7c4e4da82d0eb0f1adc357e73faa7c33184d247a96682f079fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9d905f225e6e4a3311905fc5324f8a857c59e5593b607010d5341bfc017ec94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-16T06:34:22Z",
    "title_canon_sha256": "8743c8e41fba470f03c70627db5b55a3bf5e293a4b31cc4667374b9fbca398ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4261",
    "kind": "arxiv",
    "version": 1
  }
}