Pith Number

pith:PND4UPGK

pith:2013:PND4UPGKWPUKCPJUUFMVB72E5W

not attested not anchored not stored refs pending

Tensor sphere bundle of Cheeger-Gromoll type

A. Tayebi, E. Peyghan, L. Nourmohammadi Far

arxiv:1306.2555 v1 · 2013-06-08 · 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{PND4UPGKWPUKCPJUUFMVB72E5W}

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	2026-05-18T03:21:11.147670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b47ca3ccab3e8a13d34a15950ff44ed8379e2dbb601760614aae1b7f584c944

Aliases

arxiv: 1306.2555 · arxiv_version: 1306.2555v1 · doi: 10.48550/arxiv.1306.2555 · pith_short_12: PND4UPGKWPUK · pith_short_16: PND4UPGKWPUKCPJU · pith_short_8: PND4UPGK

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/PND4UPGKWPUKCPJUUFMVB72E5W \
  | 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: 7b47ca3ccab3e8a13d34a15950ff44ed8379e2dbb601760614aae1b7f584c944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d468b7c29f35402b2ebf1abf645944a93a95dfa5eaa076654c4deb37f36a62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-08T10:28:38Z",
    "title_canon_sha256": "acedfe23d587fae76603756cd8018aec5ec7e2d70db71a2f166a0ba925d02753"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2555",
    "kind": "arxiv",
    "version": 1
  }
}