Pith Number

pith:MPDJLNPI

pith:2011:MPDJLNPISUK5QHS3VYEEN3DRIH

not attested not anchored not stored refs pending

On Homothetic Balanced Metrics

Andrea Loi, Claudio Arezzo, Fabio Zuddas

arxiv:1105.5315 v1 · 2011-05-26 · math.DG · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPDJLNPISUK5QHS3VYEEN3DRIH}

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	2026-05-18T04:21:12.878969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c695b5e89515d81e5bae0846ec7141cbcd2eae36884dd8a04ded47d3541ad2

Aliases

arxiv: 1105.5315 · arxiv_version: 1105.5315v1 · doi: 10.48550/arxiv.1105.5315 · pith_short_12: MPDJLNPISUK5 · pith_short_16: MPDJLNPISUK5QHS3 · pith_short_8: MPDJLNPI

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/MPDJLNPISUK5QHS3VYEEN3DRIH \
  | 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: 63c695b5e89515d81e5bae0846ec7141cbcd2eae36884dd8a04ded47d3541ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1f5a82407443282ec19401e73c84fe50d48e1db38a613d4458b4129afa96681",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-26T14:49:10Z",
    "title_canon_sha256": "ea2b57a165139d4d7b26d8250da5f6732edf0183dc27a71f02648284e41a902b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5315",
    "kind": "arxiv",
    "version": 1
  }
}