Pith Number

pith:5K3KASTT

pith:2015:5K3KASTTEAR5KO4BS5GKFNGFSG

not attested not anchored not stored refs pending

Generalizing axioms of $r$-planes and $r$-spheres on Riemannian and K\"ahler manifolds

Cristina Levina, S\'ergio Mendon\c{c}a

arxiv:1511.08751 v1 · 2015-11-27 · 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{5K3KASTTEAR5KO4BS5GKFNGFSG}

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	2026-05-18T01:25:48.173858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eab6a04a732023d53b81974ca2b4c591b15639ce3f9a910ea18ecef8476a0b1b

Aliases

arxiv: 1511.08751 · arxiv_version: 1511.08751v1 · doi: 10.48550/arxiv.1511.08751 · pith_short_12: 5K3KASTTEAR5 · pith_short_16: 5K3KASTTEAR5KO4B · pith_short_8: 5K3KASTT

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/5K3KASTTEAR5KO4BS5GKFNGFSG \
  | 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: eab6a04a732023d53b81974ca2b4c591b15639ce3f9a910ea18ecef8476a0b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba86de7f30106fcc5d4c913df7b1191dc5a56cdb2f3f49e5cdc95fc3e8df6bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-27T17:25:37Z",
    "title_canon_sha256": "d1c79acc0b02df41f6ace1d57faa4702582790937d4e2eb23d51b1fb93184f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08751",
    "kind": "arxiv",
    "version": 1
  }
}