Pith Number

pith:OJAHS3QA

pith:2015:OJAHS3QAWY3YU7Z7V4CEHFIIXR

not attested not anchored not stored refs pending

A Bollob\'as-type theorem for affine subspaces

G\'abor Heged\"us

arxiv:1512.01009 v1 · 2015-12-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJAHS3QAWY3YU7Z7V4CEHFIIXR}

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	2026-05-18T01:25:23.614872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7240796e00b6378a7f3faf04439508bc41fd46bac14b73e1f44ea2b22d5135d6

Aliases

arxiv: 1512.01009 · arxiv_version: 1512.01009v1 · doi: 10.48550/arxiv.1512.01009 · pith_short_12: OJAHS3QAWY3Y · pith_short_16: OJAHS3QAWY3YU7Z7 · pith_short_8: OJAHS3QA

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/OJAHS3QAWY3YU7Z7V4CEHFIIXR \
  | 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: 7240796e00b6378a7f3faf04439508bc41fd46bac14b73e1f44ea2b22d5135d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23f113778b47c35481b210ccda68c656875eda1f6e33dd8f070f9de7ceb9e295",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-03T09:33:33Z",
    "title_canon_sha256": "3932004948314354458d21b4ed5c2283ce0998e77d2f30c7c84d37991f231daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01009",
    "kind": "arxiv",
    "version": 1
  }
}