Pith Number

pith:6TKYOGWF

pith:2013:6TKYOGWFFBBIYR6BVK6O5SWWRB

not attested not anchored not stored refs pending

Torus equivariant D-modules and hypergeometric systems

Christine Berkesch, Laura Felicia Matusevich, Uli Walther

arxiv:1308.5901 v2 · 2013-08-27 · math.AG · math.AC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TKYOGWFFBBIYR6BVK6O5SWWRB}

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	2026-05-18T00:13:38.371600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4d5871ac528428c47c1aabceecad6887ebcb988982765e2c8494b20cd3f6f69

Aliases

arxiv: 1308.5901 · arxiv_version: 1308.5901v2 · doi: 10.48550/arxiv.1308.5901 · pith_short_12: 6TKYOGWFFBBI · pith_short_16: 6TKYOGWFFBBIYR6B · pith_short_8: 6TKYOGWF

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/6TKYOGWFFBBIYR6BVK6O5SWWRB \
  | 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: f4d5871ac528428c47c1aabceecad6887ebcb988982765e2c8494b20cd3f6f69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64c89ac531c2c2957ce8f1869bb5e9c26294ad31cfe11facbe8285656c71baa",
    "cross_cats_sorted": [
      "math.AC",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-27T15:38:40Z",
    "title_canon_sha256": "43d1478dbbf407d290f13eebed802af6aa8b2a52c0938253e9d4afdb5e3262a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5901",
    "kind": "arxiv",
    "version": 2
  }
}