Pith Number

pith:VVUZLBWN

pith:2012:VVUZLBWN2CLOTI6TRSI5EF6GZX

not attested not anchored not stored refs pending

Manifolds without conjugate points and their fundamental groups

Sergei Ivanov, Vitali Kapovitch

arxiv:1205.4455 v1 · 2012-05-20 · 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{VVUZLBWN2CLOTI6TRSI5EF6GZX}

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	2026-05-18T03:55:13.163173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad699586cdd096e9a3d38c91d217c6cdf0091d0a444ba2caa441ff76aaa2f1a3

Aliases

arxiv: 1205.4455 · arxiv_version: 1205.4455v1 · doi: 10.48550/arxiv.1205.4455 · pith_short_12: VVUZLBWN2CLO · pith_short_16: VVUZLBWN2CLOTI6T · pith_short_8: VVUZLBWN

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/VVUZLBWN2CLOTI6TRSI5EF6GZX \
  | 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: ad699586cdd096e9a3d38c91d217c6cdf0091d0a444ba2caa441ff76aaa2f1a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "365ee56385da9b18dbc54fd5811f3c203349305952968f753d6b5242df648e84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-20T20:22:34Z",
    "title_canon_sha256": "5a5481be5e639721f36f7f69b0c55483c8ffd1d75530278fcbdcee59b2bf4757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4455",
    "kind": "arxiv",
    "version": 1
  }
}