Pith Number

pith:U7YPFFTC

pith:2010:U7YPFFTCZJD7WT4X5Y6SQZRC5Z

not attested not anchored not stored refs pending

Weighted metrics on tangent sphere bundles

Rui Albuquerque

arxiv:1012.4139 v1 · 2010-12-19 · 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{U7YPFFTCZJD7WT4X5Y6SQZRC5Z}

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	2026-05-18T03:51:02.499835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f0f29662ca47fb4f97ee3d286622ee6ed8f852d145337c2b7e51e4ff663d64

Aliases

arxiv: 1012.4139 · arxiv_version: 1012.4139v1 · doi: 10.48550/arxiv.1012.4139 · pith_short_12: U7YPFFTCZJD7 · pith_short_16: U7YPFFTCZJD7WT4X · pith_short_8: U7YPFFTC

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/U7YPFFTCZJD7WT4X5Y6SQZRC5Z \
  | 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: a7f0f29662ca47fb4f97ee3d286622ee6ed8f852d145337c2b7e51e4ff663d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04569107fccb9ff022bdfa5e036928af31e0afb9a394cbb617347f457dc11ff5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-19T00:53:21Z",
    "title_canon_sha256": "2d02a2f14c91f51a342bced0d89112c74e48ca2b67d32ad36b0c633805209845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4139",
    "kind": "arxiv",
    "version": 1
  }
}