Pith Number

pith:F5UCCV4P

pith:2013:F5UCCV4PA5UNPIFBYTYATDQIVN

not attested not anchored not stored refs pending

Fundamental groups of manifolds with positive sectional curvature and torus symmetry

Lee Kennard

arxiv:1310.7251 v2 · 2013-10-27 · 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{F5UCCV4PA5UNPIFBYTYATDQIVN}

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	2026-05-18T01:24:14.878178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f6821578f0768d7a0a1c4f0098e08ab7be3f1b6508ef5527ed2ba233af812c6

Aliases

arxiv: 1310.7251 · arxiv_version: 1310.7251v2 · doi: 10.48550/arxiv.1310.7251 · pith_short_12: F5UCCV4PA5UN · pith_short_16: F5UCCV4PA5UNPIFB · pith_short_8: F5UCCV4P

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/F5UCCV4PA5UNPIFBYTYATDQIVN \
  | 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: 2f6821578f0768d7a0a1c4f0098e08ab7be3f1b6508ef5527ed2ba233af812c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7231acffb15bcf13c63cea7528dd3868c3f6d03c191ebf19d78f16b1f036b5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-27T20:52:11Z",
    "title_canon_sha256": "efe4a22867068b93c7992de1c9221338ce98843403d6a66ff495fced78324180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7251",
    "kind": "arxiv",
    "version": 2
  }
}