Pith Number

pith:6XLFLYAV

pith:2013:6XLFLYAVJ5RBNWY2MOGMIII7L3

not attested not anchored not stored refs pending

Pretangent spaces with nonpositive and nonnegative Aleksandrov curvature

Oleksiy Dovgoshey, Viktoriia Bilet

arxiv:1301.4456 v1 · 2013-01-18 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XLFLYAVJ5RBNWY2MOGMIII7L3}

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	2026-05-18T03:36:05.383114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5d655e0154f6216db1a638cc4211f5ee6f8c767420762a56d1e558c89defd80

Aliases

arxiv: 1301.4456 · arxiv_version: 1301.4456v1 · doi: 10.48550/arxiv.1301.4456 · pith_short_12: 6XLFLYAVJ5RB · pith_short_16: 6XLFLYAVJ5RBNWY2 · pith_short_8: 6XLFLYAV

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/6XLFLYAVJ5RBNWY2MOGMIII7L3 \
  | 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: f5d655e0154f6216db1a638cc4211f5ee6f8c767420762a56d1e558c89defd80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b706a2969a3ca9c4236c8cbe63fb47c79860025055f6a997eebcf890db47cc42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-01-18T18:40:45Z",
    "title_canon_sha256": "c77e50473c30bb09625280d4a957dec77bcb8d9085f038667470bc84efd207d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4456",
    "kind": "arxiv",
    "version": 1
  }
}