Pith Number

pith:ZJ42RUHZ

pith:2018:ZJ42RUHZCZ5Z6CVMSSZ552V5B4

not attested not anchored not stored refs pending

Beta super-functions on super-Grassmannians

Mee Seong Im, Michal Zakrzewski

arxiv:1808.04011 v1 · 2018-08-12 · math-ph · math.AG · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJ42RUHZCZ5Z6CVMSSZ552V5B4}

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	2026-05-18T00:08:19.096565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca79a8d0f9167b9f0aac94b3deeabd0f1d7a26cb274529c04ec43490ebec00b1

Aliases

arxiv: 1808.04011 · arxiv_version: 1808.04011v1 · doi: 10.48550/arxiv.1808.04011 · pith_short_12: ZJ42RUHZCZ5Z · pith_short_16: ZJ42RUHZCZ5Z6CVM · pith_short_8: ZJ42RUHZ

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/ZJ42RUHZCZ5Z6CVMSSZ552V5B4 \
  | 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: ca79a8d0f9167b9f0aac94b3deeabd0f1d7a26cb274529c04ec43490ebec00b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "385e86635e82866b0e4e5d1754ae1ba725d4a95d30fc392e44cf14ef9e261764",
    "cross_cats_sorted": [
      "math.AG",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-12T22:46:16Z",
    "title_canon_sha256": "d493f258c1a42e086949d60550a1755000f83a29cd8ae38cfe4190553aeaee3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04011",
    "kind": "arxiv",
    "version": 1
  }
}