Pith Number

pith:4TDUWC2L

pith:2015:4TDUWC2LZ2KW6AN3VWBWU3UHFN

not attested not anchored not stored refs pending

Towards a cluster structure on trigonometric zastava

Alexander Kuznetsov, Galyna Dobrovolska, Leonid Rybnikov, Michael Finkelberg

arxiv:1504.05605 v5 · 2015-04-21 · math.AG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TDUWC2LZ2KW6AN3VWBWU3UHFN}

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	2026-05-18T00:06:44.162724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c74b0b4bce956f01bbad836a6e872b41a5b360071800d858db452acd561137

Aliases

arxiv: 1504.05605 · arxiv_version: 1504.05605v5 · doi: 10.48550/arxiv.1504.05605 · pith_short_12: 4TDUWC2LZ2KW · pith_short_16: 4TDUWC2LZ2KW6AN3 · pith_short_8: 4TDUWC2L

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/4TDUWC2LZ2KW6AN3VWBWU3UHFN \
  | 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: e4c74b0b4bce956f01bbad836a6e872b41a5b360071800d858db452acd561137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "879001709219f85eb68bb8ce6db58a0be99ee065f2d68ca68b9ed3ed8edf64be",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-21T20:37:13Z",
    "title_canon_sha256": "ad86ba5441a88ffb65022f5c235eef516fd6c1cfa71f80596947022ac87cda07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05605",
    "kind": "arxiv",
    "version": 5
  }
}