Pith Number

pith:V3NNOP6B

pith:2012:V3NNOP6BNZJCKO6MA4DQMF7EP7

not attested not anchored not stored refs pending

A note on maximal symmetry rank, quasipositive curvature, and low dimensional manifolds

Fernando Galaz-Garcia

arxiv:1201.1312 v1 · 2012-01-05 · 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{V3NNOP6BNZJCKO6MA4DQMF7EP7}

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	2026-05-18T04:05:04.939173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aedad73fc16e52253bcc07070617e47ffb6d094f97cd4e5a829a2c9fdb496b73

Aliases

arxiv: 1201.1312 · arxiv_version: 1201.1312v1 · doi: 10.48550/arxiv.1201.1312 · pith_short_12: V3NNOP6BNZJC · pith_short_16: V3NNOP6BNZJCKO6M · pith_short_8: V3NNOP6B

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/V3NNOP6BNZJCKO6MA4DQMF7EP7 \
  | 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: aedad73fc16e52253bcc07070617e47ffb6d094f97cd4e5a829a2c9fdb496b73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "130f81343b05267311dc221f8264172e1362893cb9411f717aa704bcf4f330c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-05T21:56:24Z",
    "title_canon_sha256": "6ee75b4325f3aafe6ec2036767bc0e3c6ae8c896b50ca4e689b809448f7bbee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1312",
    "kind": "arxiv",
    "version": 1
  }
}