Pith Number

pith:7ARE5OKE

pith:2013:7ARE5OKEYBCME4E6PNDECATQRC

not attested not anchored not stored refs pending

SO(2)-congruent projections of convex bodies with rotation about the origin

Benjamin Mackey

arxiv:1309.7101 v1 · 2013-09-27 · math.CA · 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{7ARE5OKEYBCME4E6PNDECATQRC}

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	2026-05-18T03:12:08.039868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8224eb944c044c2709e7b46410270889b101b58df46e4e354dda33baac35ac5

Aliases

arxiv: 1309.7101 · arxiv_version: 1309.7101v1 · doi: 10.48550/arxiv.1309.7101 · pith_short_12: 7ARE5OKEYBCM · pith_short_16: 7ARE5OKEYBCME4E6 · pith_short_8: 7ARE5OKE

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/7ARE5OKEYBCME4E6PNDECATQRC \
  | 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: f8224eb944c044c2709e7b46410270889b101b58df46e4e354dda33baac35ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "108b99788b6459b555105327c87c0dbe38fc196112b431f184ebc34162d65ef9",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-27T02:38:03Z",
    "title_canon_sha256": "1f7ad746baf43103b5303d6ad8dd3a0eb95c06b42f446a4a5f0047c2014fe0f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7101",
    "kind": "arxiv",
    "version": 1
  }
}