Pith Number

pith:QBYT57YQ

pith:2013:QBYT57YQ6IHCGATYKTTL35V7ZH

not attested not anchored not stored refs pending

The fractional Cheeger problem

Enea Parini, Erik Lindgren, Lorenzo Brasco

arxiv:1308.3975 v3 · 2013-08-19 · 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{QBYT57YQ6IHCGATYKTTL35V7ZH}

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	2026-05-18T03:06:42.691966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80713eff10f20e23027854e6bdf6bfc9e35e1d4db8d015c49e2f901b64196715

Aliases

arxiv: 1308.3975 · arxiv_version: 1308.3975v3 · doi: 10.48550/arxiv.1308.3975 · pith_short_12: QBYT57YQ6IHC · pith_short_16: QBYT57YQ6IHCGATY · pith_short_8: QBYT57YQ

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/QBYT57YQ6IHCGATYKTTL35V7ZH \
  | 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: 80713eff10f20e23027854e6bdf6bfc9e35e1d4db8d015c49e2f901b64196715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14cdd2f43e16c35eef21492ee0c786b9a7c47fe5b48caa4e304c364555de0db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-19T10:11:59Z",
    "title_canon_sha256": "66c95bc110fce4b7fee189f4fc77c53b91cb63b78d176431b863d5a01bc6707f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3975",
    "kind": "arxiv",
    "version": 3
  }
}