Pith Number

pith:AWH36OBG

pith:2015:AWH36OBGUKTKRMP2OKZ4GGVYOO

not attested not anchored not stored refs pending

Separation with restricted families of sets

G\'abor Tardos, G\'eza T\'oth, J\'anos Pach, M\'arton Nasz\'odi, Zsolt L\'angi

arxiv:1508.05504 v1 · 2015-08-22 · math.CO · 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{AWH36OBGUKTKRMP2OKZ4GGVYOO}

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	2026-05-18T01:34:53.758749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058fbf3826a2a6a8b1fa72b3c31ab873b967f9d5ecb12b841250a0cc5ee56c20

Aliases

arxiv: 1508.05504 · arxiv_version: 1508.05504v1 · doi: 10.48550/arxiv.1508.05504 · pith_short_12: AWH36OBGUKTK · pith_short_16: AWH36OBGUKTKRMP2 · pith_short_8: AWH36OBG

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/AWH36OBGUKTKRMP2OKZ4GGVYOO \
  | 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: 058fbf3826a2a6a8b1fa72b3c31ab873b967f9d5ecb12b841250a0cc5ee56c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e4f0f17b5be0b29649a46c2431ec32dc5374711b362673ee2848a775f01e83",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-22T12:51:22Z",
    "title_canon_sha256": "0d5aa67eed23302f6e53ea36cf3310fb423fc57b7e3230a354f14a735711ed35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05504",
    "kind": "arxiv",
    "version": 1
  }
}