Pith Number

pith:KPFGBAWU

pith:2013:KPFGBAWUQYR5XIMQ3TSK7M6QAI

not attested not anchored not stored refs pending

Macroscopic dimension and fundamental group of manifolds with positive isotropic curvature

Gabriele La Nave

arxiv:1303.5096 v3 · 2013-03-20 · 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{KPFGBAWUQYR5XIMQ3TSK7M6QAI}

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	2026-05-18T03:11:22.723816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ca6082d48623dba190dce4afb3d00211f15fe549b626126feba779c101724e

Aliases

arxiv: 1303.5096 · arxiv_version: 1303.5096v3 · doi: 10.48550/arxiv.1303.5096 · pith_short_12: KPFGBAWUQYR5 · pith_short_16: KPFGBAWUQYR5XIMQ · pith_short_8: KPFGBAWU

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/KPFGBAWUQYR5XIMQ3TSK7M6QAI \
  | 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: 53ca6082d48623dba190dce4afb3d00211f15fe549b626126feba779c101724e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f776af67dd61563ba34873abab864a3f2707c681f96033cebef663d2ce7f759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-20T20:53:25Z",
    "title_canon_sha256": "f30447e1e98dfb1a0c0888e73eec48ef1a405e54dc2a0aeb482f3927cfd414c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5096",
    "kind": "arxiv",
    "version": 3
  }
}