Pith Number

pith:3UC3OPXU

pith:2012:3UC3OPXUOPFQ7ASYMPYLQ3CVXN

not attested not anchored not stored refs pending

Averaged alternating reflections in geodesic spaces

Adriana Nicolae, Aurora Fernandez-Leon

arxiv:1211.4958 v3 · 2012-11-21 · math.OC · 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{3UC3OPXUOPFQ7ASYMPYLQ3CVXN}

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	2026-05-18T03:11:36.014990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd05b73ef473cb0f825863f0b86c55bb74eeb6abfd1ccc9deed4931786683e09

Aliases

arxiv: 1211.4958 · arxiv_version: 1211.4958v3 · doi: 10.48550/arxiv.1211.4958 · pith_short_12: 3UC3OPXUOPFQ · pith_short_16: 3UC3OPXUOPFQ7ASY · pith_short_8: 3UC3OPXU

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/3UC3OPXUOPFQ7ASYMPYLQ3CVXN \
  | 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: dd05b73ef473cb0f825863f0b86c55bb74eeb6abfd1ccc9deed4931786683e09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d72d8b025f5c648adfbbdbb8025a04593fa84232c0b846a7b6a36696c82fec78",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-21T08:35:18Z",
    "title_canon_sha256": "eb03a67ec4efd1a00914b492bdd666cf528d368320b602a9ca71572ed658d34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4958",
    "kind": "arxiv",
    "version": 3
  }
}