Pith Number

pith:QRARLQF6

pith:2012:QRARLQF6HUHZEGFMOPROPYADN5

not attested not anchored not stored refs pending

Spectral Theory of Multiple Intervals

Feng Tian, Palle Jorgensen, Steen Pedersen

arxiv:1202.4120 v1 · 2012-02-19 · math.SP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRARLQF6HUHZEGFMOPROPYADN5}

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	2026-05-18T04:02:00.197743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844115c0be3d0f9218ac73e2e7e0036f6fe26455a61b7a57fd237a5703c11b41

Aliases

arxiv: 1202.4120 · arxiv_version: 1202.4120v1 · doi: 10.48550/arxiv.1202.4120 · pith_short_12: QRARLQF6HUHZ · pith_short_16: QRARLQF6HUHZEGFM · pith_short_8: QRARLQF6

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/QRARLQF6HUHZEGFMOPROPYADN5 \
  | 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: 844115c0be3d0f9218ac73e2e7e0036f6fe26455a61b7a57fd237a5703c11b41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4582c220e98d1640fa9fb408bb02d604724bb1a5f0125618dd2c90acd1e8bc7d",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-02-19T01:05:49Z",
    "title_canon_sha256": "c1fbd9fc71406f001b392cf7c6321bdb17381a1d7a979553f2e3c348a6b72489"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4120",
    "kind": "arxiv",
    "version": 1
  }
}