Pith Number

pith:DSNUHMMG

pith:2015:DSNUHMMGOI72UPSYXTSFV2YWYM

not attested not anchored not stored refs pending

A remark on an overdetermined problem in Riemannian Geometry

Giulio Ciraolo, Luigi Vezzoni

arxiv:1512.07752 v1 · 2015-12-24 · math.AP · 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{DSNUHMMGOI72UPSYXTSFV2YWYM}

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	2026-05-18T01:23:47.929322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c9b43b186723faa3e58bce45aeb16c301813a3701bf57273671dad38c0faa78

Aliases

arxiv: 1512.07752 · arxiv_version: 1512.07752v1 · doi: 10.48550/arxiv.1512.07752 · pith_short_12: DSNUHMMGOI72 · pith_short_16: DSNUHMMGOI72UPSY · pith_short_8: DSNUHMMG

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/DSNUHMMGOI72UPSYXTSFV2YWYM \
  | 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: 1c9b43b186723faa3e58bce45aeb16c301813a3701bf57273671dad38c0faa78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2413ea43efad9c7cfec25db3f5c23144aefe2688c6d83589784deb68e7183c96",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-24T08:31:35Z",
    "title_canon_sha256": "b2e3461d1b42783a0ccd2d4bf50193a57969d7496f479520b6d6482490acd984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07752",
    "kind": "arxiv",
    "version": 1
  }
}