Pith Number

pith:3PFKW6GF

pith:2026:3PFKW6GF6DJXZV2VKWSGGONB6E

not attested not anchored not stored refs pending

Extremal Marginal States of Maximal Rank in $(d, d+m)$

Indu Bala, Swapan Rana

arxiv:2605.26920 v1 · 2026-05-26 · quant-ph · math-ph · math.FA · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PFKW6GF6DJXZV2VKWSGGONB6E}

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	2026-05-27T01:06:19.826845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbcaab78c5f0d37cd75555a46339a1f13dcd514127b06f7b7d3a459648efaf7c

Aliases

arxiv: 2605.26920 · arxiv_version: 2605.26920v1 · doi: 10.48550/arxiv.2605.26920 · pith_short_12: 3PFKW6GF6DJX · pith_short_16: 3PFKW6GF6DJXZV2V · pith_short_8: 3PFKW6GF

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/3PFKW6GF6DJXZV2VKWSGGONB6E \
  | 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: dbcaab78c5f0d37cd75555a46339a1f13dcd514127b06f7b7d3a459648efaf7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6a837f6d43ef1107f304267785e316684492d1dd7a4a1cd9e9e3a6e6d2d93c",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-26T12:18:51Z",
    "title_canon_sha256": "458dac6b324da0acfe4210c9e8473ec5f8e4ed96add6b23b1c40e46115830249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26920",
    "kind": "arxiv",
    "version": 1
  }
}