Pith Number

pith:QPSL76YU

pith:2012:QPSL76YUBJ7FI2FGNPA3V2F4TG

not attested not anchored not stored refs pending

How well-proportioned are lens and prism spaces?

R. Aurich, S. Lustig

arxiv:1201.6490 v1 · 2012-01-31 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPSL76YUBJ7FI2FGNPA3V2F4TG}

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	2026-05-18T01:58:37.691151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e4bffb140a7e5468a66bc1bae8bc999ee44d6fcaead746f77808a9415d64e3

Aliases

arxiv: 1201.6490 · arxiv_version: 1201.6490v1 · doi: 10.48550/arxiv.1201.6490 · pith_short_12: QPSL76YUBJ7F · pith_short_16: QPSL76YUBJ7FI2FG · pith_short_8: QPSL76YU

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/QPSL76YUBJ7FI2FGNPA3V2F4TG \
  | 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: 83e4bffb140a7e5468a66bc1bae8bc999ee44d6fcaead746f77808a9415d64e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f9d18b80329fd01417b674cdf7b472d4820ff93dd06d714d5f7957a05805394",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-31T09:52:17Z",
    "title_canon_sha256": "14029ca871156bed716d07badf22b4b8d404b1f0ec96e35b59760b388a98c6d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6490",
    "kind": "arxiv",
    "version": 1
  }
}