Pith Number

pith:BHEPHLLZ

pith:2010:BHEPHLLZIRUCWUJK3FYASHYOP2

not attested not anchored not stored refs pending

Isometries and curvatures of tangent sphere bundles

Rui Albuquerque

arxiv:1005.2150 v2 · 2010-05-12 · 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{BHEPHLLZIRUCWUJK3FYASHYOP2}

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	2026-05-18T02:24:07.863053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c8f3ad7944682b512ad970091f0e7eb352d4290631754cba05beb86227d6b3

Aliases

arxiv: 1005.2150 · arxiv_version: 1005.2150v2 · doi: 10.48550/arxiv.1005.2150 · pith_short_12: BHEPHLLZIRUC · pith_short_16: BHEPHLLZIRUCWUJK · pith_short_8: BHEPHLLZ

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/BHEPHLLZIRUCWUJK3FYASHYOP2 \
  | 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: 09c8f3ad7944682b512ad970091f0e7eb352d4290631754cba05beb86227d6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ecd71e35db80eb68ae9fffab93ee08f2f917b8164e5fabb819c08679a9bbcce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-12T16:44:13Z",
    "title_canon_sha256": "1251d30a20c2b8bebd2c752fc273191602ad970b49dce0201321b303c5c447e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2150",
    "kind": "arxiv",
    "version": 2
  }
}