Pith Number

pith:373CVL4D

pith:2017:373CVL4DECHY5PYJZ3A67Y477E

not attested not anchored not stored refs pending

Comparing volumes by concurrent cross-sections of complex lines: a Busemann-Petty type problem

Eric L. Grinberg

arxiv:1701.02237 v2 · 2017-01-04 · 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{373CVL4DECHY5PYJZ3A67Y477E}

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	2026-05-18T00:20:27.674679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dff62aaf83208f8ebf09cec1efe39ff90a54adbc3de63437bd5d6d0898752d09

Aliases

arxiv: 1701.02237 · arxiv_version: 1701.02237v2 · doi: 10.48550/arxiv.1701.02237 · pith_short_12: 373CVL4DECHY · pith_short_16: 373CVL4DECHY5PYJ · pith_short_8: 373CVL4D

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/373CVL4DECHY5PYJZ3A67Y477E \
  | 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: dff62aaf83208f8ebf09cec1efe39ff90a54adbc3de63437bd5d6d0898752d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e4c09422e02da84ce3e8f4306e301c97919dddb41a2b6be959ed96c1acfc61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-01-04T21:41:59Z",
    "title_canon_sha256": "3b310f7a6015fab9d395ffdb0861b41126186bef1e5e00b573d08ff7c8804fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02237",
    "kind": "arxiv",
    "version": 2
  }
}