Pith Number

pith:CCQLXHN7

pith:2013:CCQLXHN7IJKHDIVBBEDQEVSVUI

not attested not anchored not stored refs pending

Metric measure spaces supporting Gagliardo-Nirenberg inequalities: volume non-collapsing and rigidities

Alexandru Krist\'aly

arxiv:1312.6702 v2 · 2013-12-23 · 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{CCQLXHN7IJKHDIVBBEDQEVSVUI}

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	2026-05-18T01:07:57.165578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a0bb9dbf425471a2a10907025655a23d1dc2a75adaecd334fa97e2c821265a

Aliases

arxiv: 1312.6702 · arxiv_version: 1312.6702v2 · doi: 10.48550/arxiv.1312.6702 · pith_short_12: CCQLXHN7IJKH · pith_short_16: CCQLXHN7IJKHDIVB · pith_short_8: CCQLXHN7

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/CCQLXHN7IJKHDIVBBEDQEVSVUI \
  | 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: 10a0bb9dbf425471a2a10907025655a23d1dc2a75adaecd334fa97e2c821265a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "570339e00cc6164c6bbc1b761d7d64dac2c60b003e29cd96ba21a8c85bca28d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-23T21:18:17Z",
    "title_canon_sha256": "794675d107d1bd023f4a645a094d0dd1c406c19b23a94dd4e9fead166b845306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6702",
    "kind": "arxiv",
    "version": 2
  }
}