Pith Number

pith:VPAFHMRR

pith:2013:VPAFHMRRB2DAPX6FBPGGO23DN3

not attested not anchored not stored refs pending

Transformations of polar Grassmannians preserving certain intersecting relations

Kaishun Wang, Mark Pankov, Wen Liu

arxiv:1307.2316 v1 · 2013-07-09 · math.AG · 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{VPAFHMRRB2DAPX6FBPGGO23DN3}

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	2026-05-18T03:18:52.876539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc053b2310e8607dfc50bcc676b636ef985ce06d5aeb5546b49d3eee2b45d3c

Aliases

arxiv: 1307.2316 · arxiv_version: 1307.2316v1 · doi: 10.48550/arxiv.1307.2316 · pith_short_12: VPAFHMRRB2DA · pith_short_16: VPAFHMRRB2DAPX6F · pith_short_8: VPAFHMRR

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/VPAFHMRRB2DAPX6FBPGGO23DN3 \
  | 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: abc053b2310e8607dfc50bcc676b636ef985ce06d5aeb5546b49d3eee2b45d3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73f1ef4641f0a0431691f484f11b2a593c27b35f2ab0887e4f86d13d98d4db7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-09T01:28:04Z",
    "title_canon_sha256": "d3c279a15a53ca77912973f707fe9c0e59420a7bfb6c4043e8ba38663b648fd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2316",
    "kind": "arxiv",
    "version": 1
  }
}