Pith Number

pith:QJ5IVQWD

pith:2015:QJ5IVQWDPQREGENAWRHXX4ZWYV

not attested not anchored not stored refs pending

Total positivity for the Lagrangian Grassmannian

Rachel Karpman

arxiv:1510.04386 v4 · 2015-10-15 · 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{QJ5IVQWDPQREGENAWRHXX4ZWYV}

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	2026-05-18T01:02:13.593283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827a8ac2c37c224311a0b44f7bf336c57bce51fbdf0e8603001d459f5613aabc

Aliases

arxiv: 1510.04386 · arxiv_version: 1510.04386v4 · doi: 10.48550/arxiv.1510.04386 · pith_short_12: QJ5IVQWDPQRE · pith_short_16: QJ5IVQWDPQREGENA · pith_short_8: QJ5IVQWD

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/QJ5IVQWDPQREGENAWRHXX4ZWYV \
  | 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: 827a8ac2c37c224311a0b44f7bf336c57bce51fbdf0e8603001d459f5613aabc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f6b98c964a268bb3cc1c541fcdcc0ec5ceda159aff59b801dbeed32f544754c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-15T03:18:44Z",
    "title_canon_sha256": "ade4daf26a25b5e9865570f5c89c1de5055c92b829baa29cea9e226c03ac1a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04386",
    "kind": "arxiv",
    "version": 4
  }
}