Pith Number

pith:6Q4NE5VT

pith:1997:6Q4NE5VTMZAQRKY3SXCEBMKVXT

not attested not anchored not stored refs pending

On the spectrum of second order differential operators with complex coefficients

B. M. Brown, D. K. R. McCormack, M. Plum, W. D. Evans

arxiv:math/9712247 v3 · 1997-12-12 · math.SP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Q4NE5VTMZAQRKY3SXCEBMKVXT}

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	2026-07-04T14:40:24.094365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f438d276b3664108ab1b95c440b155bcdb1af212bb1cafad6de6ed3812e6b263

Aliases

arxiv: math/9712247 · arxiv_version: math/9712247v3 · doi: 10.48550/arxiv.math/9712247 · pith_short_12: 6Q4NE5VTMZAQ · pith_short_16: 6Q4NE5VTMZAQRKY3 · pith_short_8: 6Q4NE5VT

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/6Q4NE5VTMZAQRKY3SXCEBMKVXT \
  | 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: f438d276b3664108ab1b95c440b155bcdb1af212bb1cafad6de6ed3812e6b263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de5ee224c2460d994eece0e497f832cf52b3292f2a1271bab2ed305cdc7ebc2b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "1997-12-12T18:03:12Z",
    "title_canon_sha256": "ce2e122baa4e2ff530cfa894afb578b0b74bd63aa5629fd353eb29d5aaa34488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9712247",
    "kind": "arxiv",
    "version": 3
  }
}