Pith Number

pith:A53TENLP

pith:2015:A53TENLPVWMYIEN4WM7GPI7OUQ

not attested not anchored not stored refs pending

Topology of the Gr\"unbaum-Hadwiger-Ramos hyperplane mass partition problem

Albert Haase, Florian Frick, G\"unter M. Ziegler, Pavle V. M. Blagojevic

arxiv:1502.02975 v2 · 2015-02-10 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A53TENLPVWMYIEN4WM7GPI7OUQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:53:06.998604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

077732356fad998411bcb33e67a3eea43958281e5ced18e1823e51016b22d46e

Aliases

arxiv: 1502.02975 · arxiv_version: 1502.02975v2 · doi: 10.48550/arxiv.1502.02975 · pith_short_12: A53TENLPVWMY · pith_short_16: A53TENLPVWMYIEN4 · pith_short_8: A53TENLP

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/A53TENLPVWMYIEN4WM7GPI7OUQ \
  | 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: 077732356fad998411bcb33e67a3eea43958281e5ced18e1823e51016b22d46e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b95c4c5e938b607021dddaf42bf41f580060239c60677918c5ddc93b23a94a78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-02-10T16:35:57Z",
    "title_canon_sha256": "2f8bf2c81ccf930af5ca84b83713e6f2e4dea53309987dcdcb0fa2da5376411b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02975",
    "kind": "arxiv",
    "version": 2
  }
}