Pith Number

pith:5OPVB34N

pith:2015:5OPVB34NB2MCLF6LBVTCNINLKI

not attested not anchored not stored refs pending

Isometric embeddings of dual polar graphs in Grassmann graphs over finite fields

Mark Pankov

arxiv:1510.00930 v1 · 2015-10-04 · 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{5OPVB34NB2MCLF6LBVTCNINLKI}

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	2026-05-18T01:31:05.194636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9f50ef8d0e982597cb0d6626a1ab523b2f47a1df01d88ff4fb2130becb36e3

Aliases

arxiv: 1510.00930 · arxiv_version: 1510.00930v1 · doi: 10.48550/arxiv.1510.00930 · pith_short_12: 5OPVB34NB2MC · pith_short_16: 5OPVB34NB2MCLF6L · pith_short_8: 5OPVB34N

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/5OPVB34NB2MCLF6LBVTCNINLKI \
  | 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: eb9f50ef8d0e982597cb0d6626a1ab523b2f47a1df01d88ff4fb2130becb36e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12be5fcd78927ceab6ac186631dd883becc13078138b79e1f44f5f6ab382f7a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-04T11:47:34Z",
    "title_canon_sha256": "6e797dc2dbb8674846257339d8deeff2973a9ef32480c39d7955c8f46bdd3de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00930",
    "kind": "arxiv",
    "version": 1
  }
}