Pith Number

pith:X2S3GIZQ

pith:2011:X2S3GIZQIXMXZR6ELIGA3IKL44

not attested not anchored not stored refs pending

Solution of the propeller conjecture in $\mathbb{R}^3$

Assaf Naor, Aukosh Jagannath, Steven Heilman

arxiv:1112.2993 v2 · 2011-12-13 · cs.CC · math.FA · 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{X2S3GIZQIXMXZR6ELIGA3IKL44}

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	2026-05-18T02:54:47.358702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea5b3233045d97cc7c45a0c0da14be71588b87cb0e0cba8b3f2e31a400f4db7

Aliases

arxiv: 1112.2993 · arxiv_version: 1112.2993v2 · doi: 10.48550/arxiv.1112.2993 · pith_short_12: X2S3GIZQIXMX · pith_short_16: X2S3GIZQIXMXZR6E · pith_short_8: X2S3GIZQ

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/X2S3GIZQIXMXZR6ELIGA3IKL44 \
  | 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: bea5b3233045d97cc7c45a0c0da14be71588b87cb0e0cba8b3f2e31a400f4db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8706d15dcaf2f69e7c2a0a79b6f233fe964d9bfb5b82c52ad14f01817df354b0",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-12-13T18:27:03Z",
    "title_canon_sha256": "80b262354473009f09086dc328a868197fe636f7fa33fba20c2694f681c8d3e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2993",
    "kind": "arxiv",
    "version": 2
  }
}