Pith Number

pith:7SPBNLRG

pith:2015:7SPBNLRGWTBZEVIX5PPFEDD6UY

not attested not anchored not stored refs pending

Large $\{0, 1, \ldots, t\}$-Cliques in Dual Polar Graphs

Ferdinand Ihringer, Klaus Metsch

arxiv:1510.01697 v1 · 2015-10-06 · 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{7SPBNLRGWTBZEVIX5PPFEDD6UY}

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	2026-05-18T01:30:56.229563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc9e16ae26b4c3925517ebde520c7ea630677a69c0ac50006539652900141ac5

Aliases

arxiv: 1510.01697 · arxiv_version: 1510.01697v1 · doi: 10.48550/arxiv.1510.01697 · pith_short_12: 7SPBNLRGWTBZ · pith_short_16: 7SPBNLRGWTBZEVIX · pith_short_8: 7SPBNLRG

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/7SPBNLRGWTBZEVIX5PPFEDD6UY \
  | 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: fc9e16ae26b4c3925517ebde520c7ea630677a69c0ac50006539652900141ac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ac1ddc63613a921e8aa60a9df291cf2b1a2146314ac72c55e9ac76c5d0324b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-06T18:48:02Z",
    "title_canon_sha256": "03fd190d3097b49617d787f2e7fd751cc535e3e2bca6fb94295beaeb186ed84b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01697",
    "kind": "arxiv",
    "version": 1
  }
}