Pith Number

pith:KQQKN2PV

pith:2013:KQQKN2PVPFU4ZKVWP3ADCF7LTF

not attested not anchored not stored refs pending

On the Distributional Hessian of the Distance Function

Carlo Mantegazza, Gennady Uraltsev, Giovanni Mascellani

arxiv:1303.1421 v3 · 2013-03-06 · math.DG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQQKN2PVPFU4ZKVWP3ADCF7LTF}

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	2026-05-18T01:22:25.619885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5420a6e9f57969ccaab67ec03117eb9964793aa296d2a3ec497ca9145b73a0e7

Aliases

arxiv: 1303.1421 · arxiv_version: 1303.1421v3 · doi: 10.48550/arxiv.1303.1421 · pith_short_12: KQQKN2PVPFU4 · pith_short_16: KQQKN2PVPFU4ZKVW · pith_short_8: KQQKN2PV

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/KQQKN2PVPFU4ZKVWP3ADCF7LTF \
  | 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: 5420a6e9f57969ccaab67ec03117eb9964793aa296d2a3ec497ca9145b73a0e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f1db9df34234cf89bd2c8db6dfdd0dc2bc8e6742d61e6295af5fbfd929c4b5f",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-06T18:45:22Z",
    "title_canon_sha256": "db96782a2507c5f5e657a164b38c835e021a549855c0b60ce4630f538efeeece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1421",
    "kind": "arxiv",
    "version": 3
  }
}