Pith Number

pith:TY4YLEHR

pith:1991:TY4YLEHRPKEUUUD5UE3WP3LI6X

not attested not anchored not stored refs pending

The Solution Space of the Unitary Matrix Model String Equation and the Sato Grassmannian

Albert Schwarz, Konstantinos N. Anagnostopoulos, Mark J. Bowick

arxiv:hep-th/9112066 v1 · 1991-12-21 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY4YLEHRPKEUUUD5UE3WP3LI6X}

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	2026-07-04T15:55:00.606111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e398590f17a894a507da13767ed68f5ece61b4f944ae251d1b413e9e542395d

Aliases

arxiv: hep-th/9112066 · arxiv_version: hep-th/9112066v1 · doi: 10.48550/arxiv.hep-th/9112066 · pith_short_12: TY4YLEHRPKEU · pith_short_16: TY4YLEHRPKEUUUD5 · pith_short_8: TY4YLEHR

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/TY4YLEHRPKEUUUD5UE3WP3LI6X \
  | 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: 9e398590f17a894a507da13767ed68f5ece61b4f944ae251d1b413e9e542395d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b761c90cc15bfe8f9a39cac3bbf080ccb32fe9855bcabeb7cdb09c3aec8009a8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-12-21T03:29:46Z",
    "title_canon_sha256": "84e59a7c66c45ce58512a04364f1052ecb681b7b8774d12f22e4d045561ddde4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9112066",
    "kind": "arxiv",
    "version": 1
  }
}