Pith Number

pith:ULGO7OLI

pith:2013:ULGO7OLIKIL7I4O7K64CFQRMN5

not attested not anchored not stored refs pending

A parabolic flow of balanced metrics

Lucio Bedulli, Luigi Vezzoni

arxiv:1301.1862 v4 · 2013-01-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULGO7OLIKIL7I4O7K64CFQRMN5}

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	2026-05-18T00:14:01.727850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ccefb9685217f471df57b822c22c6f5adae3ffba50d7cf531f31bb2f7f5c40

Aliases

arxiv: 1301.1862 · arxiv_version: 1301.1862v4 · doi: 10.48550/arxiv.1301.1862 · pith_short_12: ULGO7OLIKIL7 · pith_short_16: ULGO7OLIKIL7I4O7 · pith_short_8: ULGO7OLI

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/ULGO7OLIKIL7I4O7K64CFQRMN5 \
  | 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: a2ccefb9685217f471df57b822c22c6f5adae3ffba50d7cf531f31bb2f7f5c40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73023d281d80d10f4fb951f39f6eaeb7bb132e42cc5b6c1413f72fbf8d00c30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-09T14:17:18Z",
    "title_canon_sha256": "4d4c0a900f2e6e553cab72b83c9f6845762bc0d1a9c56931fb2b6c79a2053b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1862",
    "kind": "arxiv",
    "version": 4
  }
}