Pith Number

pith:ULK5R4ZY

pith:2013:ULK5R4ZYJV43HQ5LDR4M5GKX3Z

not attested not anchored not stored refs pending

Affine projective Osserman structures

Peter Gilkey, Stana Nikcevic

arxiv:1304.7482 v1 · 2013-04-28 · 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{ULK5R4ZYJV43HQ5LDR4M5GKX3Z}

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	2026-05-18T01:50:14.911704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d5d8f3384d79b3c3ab1c78ce9957de52ef551b1010e29229bfcf482b7778be

Aliases

arxiv: 1304.7482 · arxiv_version: 1304.7482v1 · doi: 10.48550/arxiv.1304.7482 · pith_short_12: ULK5R4ZYJV43 · pith_short_16: ULK5R4ZYJV43HQ5L · pith_short_8: ULK5R4ZY

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/ULK5R4ZYJV43HQ5LDR4M5GKX3Z \
  | 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: a2d5d8f3384d79b3c3ab1c78ce9957de52ef551b1010e29229bfcf482b7778be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51d44a5f36c2425f678cb28c4b429b87a587ab857238afc1cacc1e5268dd8e91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-28T16:02:30Z",
    "title_canon_sha256": "6e56ee84e9f1c2da85eb17a274b0cc4ab72730f6d93f041403baaa2078027e72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7482",
    "kind": "arxiv",
    "version": 1
  }
}