Pith Number

pith:R7XM4TKF

pith:2016:R7XM4TKFRZ6CEEXDQ54MQARDNZ

not attested not anchored not stored refs pending

The smooth Riemannian extension problem: completeness

Giona Veronelli, Stefano Pigola

arxiv:1601.05075 v2 · 2016-01-19 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7XM4TKFRZ6CEEXDQ54MQARDNZ}

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	2026-05-18T01:11:41.181948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8feece4d458e7c2212e38778c802236e4e5e5976fe2df777c966f1075a3597a6

Aliases

arxiv: 1601.05075 · arxiv_version: 1601.05075v2 · doi: 10.48550/arxiv.1601.05075 · pith_short_12: R7XM4TKFRZ6C · pith_short_16: R7XM4TKFRZ6CEEXD · pith_short_8: R7XM4TKF

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/R7XM4TKFRZ6CEEXDQ54MQARDNZ \
  | 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: 8feece4d458e7c2212e38778c802236e4e5e5976fe2df777c966f1075a3597a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f2d55d5bb61c53ebb7abab5c7f0bcfa01e6f986b59c55552c3d39734451b827",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-19T20:51:23Z",
    "title_canon_sha256": "ed9bfb7f4384b2d2d288fafcf11202fbaa785a2577e9fe8d1bc670b1ddcbbfb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05075",
    "kind": "arxiv",
    "version": 2
  }
}