Pith Number

pith:42JZ5OEB

pith:2014:42JZ5OEB5EAAYWSZR2KJWI5E5W

not attested not anchored not stored refs pending

Semicontinuity of eigenvalues under intrinsic flat convergence

Jacobus W. Portegies

arxiv:1401.5017 v2 · 2014-01-20 · math.DG · math.MG · 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{42JZ5OEB5EAAYWSZR2KJWI5E5W}

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	2026-05-18T02:38:29.747638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6939eb881e9000c5a598e949b23a4eda2e23bdd98a3d634e8ec8d056460a533

Aliases

arxiv: 1401.5017 · arxiv_version: 1401.5017v2 · doi: 10.48550/arxiv.1401.5017 · pith_short_12: 42JZ5OEB5EAA · pith_short_16: 42JZ5OEB5EAAYWSZ · pith_short_8: 42JZ5OEB

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/42JZ5OEB5EAAYWSZR2KJWI5E5W \
  | 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: e6939eb881e9000c5a598e949b23a4eda2e23bdd98a3d634e8ec8d056460a533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3323c84108ee96896db6055dbb08d026e7e898a29862f891cdfbacad7c4bdeb7",
    "cross_cats_sorted": [
      "math.MG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-20T19:01:57Z",
    "title_canon_sha256": "261c80b01b43de7e23331356789e7a1dd58ed34d2fa19cd8ddcbf7752478cf8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5017",
    "kind": "arxiv",
    "version": 2
  }
}