Pith Number

pith:AJRAA27K

pith:2013:AJRAA27KHVUICIRU53SYYS4VPE

not attested not anchored not stored refs pending

Diagonals of self-adjoint operators with finite spectrum

John Jasper, Marcin Bownik

arxiv:1302.5106 v2 · 2013-02-19 · 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{AJRAA27KHVUICIRU53SYYS4VPE}

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	2026-05-18T02:50:59.716260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0262006bea3d68812234eee58c4b9579306e36214a38f20122663458cab66630

Aliases

arxiv: 1302.5106 · arxiv_version: 1302.5106v2 · doi: 10.48550/arxiv.1302.5106 · pith_short_12: AJRAA27KHVUI · pith_short_16: AJRAA27KHVUICIRU · pith_short_8: AJRAA27K

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/AJRAA27KHVUICIRU53SYYS4VPE \
  | 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: 0262006bea3d68812234eee58c4b9579306e36214a38f20122663458cab66630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51290a09d3dcf74f2e76454c27d431a8b584e90cbbe2c13f3025c2cae4f47867",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-19T22:03:29Z",
    "title_canon_sha256": "19710b28a028c858dd0f7f2c0b3bf7f5aa6fa40954de0a5d3918b6c0b87547b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5106",
    "kind": "arxiv",
    "version": 2
  }
}