Pith Number

pith:P23N6Y3E

pith:2012:P23N6Y3EXXZISU74N3LIC2GMHA

not attested not anchored not stored refs pending

Twisted submersions in nonnegative sectional curvature

Gerard Walschap, Luis Guijarro, Pablo Angulo-Ardoy

arxiv:1212.2569 v3 · 2012-12-11 · 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{P23N6Y3EXXZISU74N3LIC2GMHA}

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	2026-05-18T03:19:35.055446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb6df6364bdf28953fc6ed68168cc3818af3463450c7e0eb194a089dd08fc2d

Aliases

arxiv: 1212.2569 · arxiv_version: 1212.2569v3 · doi: 10.48550/arxiv.1212.2569 · pith_short_12: P23N6Y3EXXZI · pith_short_16: P23N6Y3EXXZISU74 · pith_short_8: P23N6Y3E

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/P23N6Y3EXXZISU74N3LIC2GMHA \
  | 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: 7eb6df6364bdf28953fc6ed68168cc3818af3463450c7e0eb194a089dd08fc2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b04146fb7c31c72194d87b0bb6dedde8d0484f330a4b7eba79b471e3ad38157",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-11T18:09:28Z",
    "title_canon_sha256": "cf424b57b5ae810034b07c422e0349f6e060622573756b7a9292a73f5869f29b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2569",
    "kind": "arxiv",
    "version": 3
  }
}