Pith Number

pith:COKI6K3L

pith:2010:COKI6K3LCJ2UATBCV576O3IYMO

not attested not anchored not stored refs pending

Resolvent at low energy III: the spectral measure

Adam Sikora, Andrew Hassell, Colin Guillarmou

arxiv:1009.3084 v2 · 2010-09-16 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COKI6K3LCJ2UATBCV576O3IYMO}

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	2026-05-18T03:56:36.479913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13948f2b6b1275404c22af7fe76d1863ac56fe8d31342d0545b19b06a72d6aa4

Aliases

arxiv: 1009.3084 · arxiv_version: 1009.3084v2 · doi: 10.48550/arxiv.1009.3084 · pith_short_12: COKI6K3LCJ2U · pith_short_16: COKI6K3LCJ2UATBC · pith_short_8: COKI6K3L

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/COKI6K3LCJ2UATBCV576O3IYMO \
  | 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: 13948f2b6b1275404c22af7fe76d1863ac56fe8d31342d0545b19b06a72d6aa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37eefacf1d9a6ad3423b218ecac36f896e204d9e90bc98bfd7b14813a5f9339",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-16T03:24:27Z",
    "title_canon_sha256": "4aa23281318b27ba61e3f7acfcf635ac7bd5aac609568b243ccd240b44b39af0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3084",
    "kind": "arxiv",
    "version": 2
  }
}