Pith Number

pith:KLNWUH7C

pith:2016:KLNWUH7CF2RXPFVPMCSF4NI56L

not attested not anchored not stored refs pending

Rigidity for critical points in the Levy-Gromov inequality

Andrea Mondino, Fabio Cavalletti, Francesco Maggi

arxiv:1612.04119 v1 · 2016-12-13 · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLNWUH7CF2RXPFVPMCSF4NI56L}

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	2026-07-05T00:56:21.972525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52db6a1fe22ea37796af60a45e351df2c8ccff026447e0e2e9318552a19ac1b7

Aliases

arxiv: 1612.04119 · arxiv_version: 1612.04119v1 · doi: 10.48550/arxiv.1612.04119 · pith_short_12: KLNWUH7CF2RX · pith_short_16: KLNWUH7CF2RXPFVP · pith_short_8: KLNWUH7C

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/KLNWUH7CF2RXPFVPMCSF4NI56L \
  | 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: 52db6a1fe22ea37796af60a45e351df2c8ccff026447e0e2e9318552a19ac1b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a4239ebd73ac58636aa3ab4568a19f11b8a171c0fc4e1df93342f1c89f56bc6",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-13T12:13:20Z",
    "title_canon_sha256": "d7484f6935cea75c4e61adf3782913ecbe73d32ec02dab8611d125369346966a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04119",
    "kind": "arxiv",
    "version": 1
  }
}