Pith Number

pith:LWQGI5IM

pith:2015:LWQGI5IM7GR2CB3DU2KQXEZ7DE

not attested not anchored not stored refs pending

On the Berger conjecture for manifolds all of whose geodesics are closed

Burkhard Wilking, Marco Radeschi

arxiv:1511.07852 v1 · 2015-11-24 · 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{LWQGI5IM7GR2CB3DU2KQXEZ7DE}

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	2026-05-18T01:26:03.436525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da064750cf9a3a10763a6950b933f1905c5aeeff9f39a92780ce954a49096c4

Aliases

arxiv: 1511.07852 · arxiv_version: 1511.07852v1 · doi: 10.48550/arxiv.1511.07852 · pith_short_12: LWQGI5IM7GR2 · pith_short_16: LWQGI5IM7GR2CB3D · pith_short_8: LWQGI5IM

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/LWQGI5IM7GR2CB3DU2KQXEZ7DE \
  | 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: 5da064750cf9a3a10763a6950b933f1905c5aeeff9f39a92780ce954a49096c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de9efe2105fdec4ef46665d06f394ccfa30fc28040eacccd727d82ae8f8d8a1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-24T20:10:49Z",
    "title_canon_sha256": "f0f0d3dafe19d4a96620c8186fe2fc670c28e880f456e02f84305079fcc7f57d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07852",
    "kind": "arxiv",
    "version": 1
  }
}