Pith Number

pith:LALX5ESN

pith:2013:LALX5ESNJRK2SV5QZS6IAJKDEM

not attested not anchored not stored refs pending

Existence and regularity of minimizers for some spectral functionals with perimeter constraint

Bozhidar Velichkov, Guido De Philippis

arxiv:1303.0968 v2 · 2013-03-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LALX5ESNJRK2SV5QZS6IAJKDEM}

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	2026-05-18T03:11:57.671184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58177e924d4c55a957b0ccbc802543231a9687500865f95599e42693501950bd

Aliases

arxiv: 1303.0968 · arxiv_version: 1303.0968v2 · doi: 10.48550/arxiv.1303.0968 · pith_short_12: LALX5ESNJRK2 · pith_short_16: LALX5ESNJRK2SV5Q · pith_short_8: LALX5ESN

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/LALX5ESNJRK2SV5QZS6IAJKDEM \
  | 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: 58177e924d4c55a957b0ccbc802543231a9687500865f95599e42693501950bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feeb36a83932632c3eaf9dc3c3e3c4342102da90d5ca8370f46481bc431d97c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-05T09:58:59Z",
    "title_canon_sha256": "ab7c3ec97856c904640cbd3c761a18bc28fad279dbf7e106d1e866ef2482be05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0968",
    "kind": "arxiv",
    "version": 2
  }
}