Pith Number

pith:TKPZ2X7P

pith:2012:TKPZ2X7P3KDUMWLNYSJYU4SPXS

not attested not anchored not stored refs pending

Invisibility via reflecting coating

Krzysztof Burdzy, Tadeusz Kulczycki

arxiv:1205.3735 v1 · 2012-05-16 · 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{TKPZ2X7P3KDUMWLNYSJYU4SPXS}

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	2026-05-18T02:57:53.571063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9f9d5fefda8746596dc4938a724fbcb261f6261e896a1e12730d1e1a9248b5

Aliases

arxiv: 1205.3735 · arxiv_version: 1205.3735v1 · doi: 10.48550/arxiv.1205.3735 · pith_short_12: TKPZ2X7P3KDU · pith_short_16: TKPZ2X7P3KDUMWLN · pith_short_8: TKPZ2X7P

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/TKPZ2X7P3KDUMWLNYSJYU4SPXS \
  | 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: 9a9f9d5fefda8746596dc4938a724fbcb261f6261e896a1e12730d1e1a9248b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb3f3e348447d227be319116f0560a12e504b730d53a2311c3e928f950345e42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-05-16T16:55:21Z",
    "title_canon_sha256": "d59b706367bce69a578a6222b389270bddee2a086257725dabf70d62a53e80af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3735",
    "kind": "arxiv",
    "version": 1
  }
}