Pith Number

pith:5VVIO7N6

pith:2011:5VVIO7N6N4EQQKHXDODFXKLKNP

not attested not anchored not stored refs pending

Equivalence between the Osserman condition and the Raki\'c duality principle in dimension four

Eugenio Merino, Miguel Brozos-V\'azquez

arxiv:1109.0386 v1 · 2011-09-02 · 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{5VVIO7N6N4EQQKHXDODFXKLKNP}

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	2026-05-18T02:00:42.849508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6a877dbe6f090828f71b865ba96a6bf4827defbdc15215d4bc6a901dd8789c

Aliases

arxiv: 1109.0386 · arxiv_version: 1109.0386v1 · doi: 10.48550/arxiv.1109.0386 · pith_short_12: 5VVIO7N6N4EQ · pith_short_16: 5VVIO7N6N4EQQKHX · pith_short_8: 5VVIO7N6

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/5VVIO7N6N4EQQKHXDODFXKLKNP \
  | 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: ed6a877dbe6f090828f71b865ba96a6bf4827defbdc15215d4bc6a901dd8789c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279fb6fbddb12856f004bf4cf5355bfedd032c0968b84591abc5dca35a41f8fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-02T09:03:56Z",
    "title_canon_sha256": "84ff2d6943c20e04f8cd9879cd4eb41386de547583c4d0ee2e95310532d17cc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0386",
    "kind": "arxiv",
    "version": 1
  }
}