Pith Number

pith:3CKGZ2TY

pith:2016:3CKGZ2TYQU2FGDY3N2TLBQMOKS

not attested not anchored not stored refs pending

A short proof of Gr\"unbaum's Conjecture about affine invariant points

Natalia Jonard-P\'erez

arxiv:1602.06560 v1 · 2016-02-21 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CKGZ2TYQU2FGDY3N2TLBQMOKS}

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	2026-05-18T01:20:13.693080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8946cea788534530f1b6ea6b0c18e54919f55f083983bfb79ebbfa8f33cf4d7

Aliases

arxiv: 1602.06560 · arxiv_version: 1602.06560v1 · doi: 10.48550/arxiv.1602.06560 · pith_short_12: 3CKGZ2TYQU2F · pith_short_16: 3CKGZ2TYQU2FGDY3 · pith_short_8: 3CKGZ2TY

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/3CKGZ2TYQU2FGDY3N2TLBQMOKS \
  | 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: d8946cea788534530f1b6ea6b0c18e54919f55f083983bfb79ebbfa8f33cf4d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae98123ad1808ca338873edcd795a0b8e43dcb82b3a17f7d1f7750f57e4f76d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-21T18:19:22Z",
    "title_canon_sha256": "159d022fc43fe007c93e61a90673e66c4b70efb0ea6ed58935c7cde38f8c1c7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06560",
    "kind": "arxiv",
    "version": 1
  }
}