Pith Number

pith:3IMG5PAB

pith:2018:3IMG5PABHUYKCWNVEDAZBPCPIL

not attested not anchored not stored refs pending

Multi-variable sigma-functions: old and new results

Dmitry Leykin, Victor Buchstaber, Victor Enolski

arxiv:1810.11079 v1 · 2018-10-25 · nlin.SI · math.AG · 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{3IMG5PABHUYKCWNVEDAZBPCPIL}

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	2026-05-18T00:02:15.257951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da186ebc013d30a159b520c190bc4f42fdbd2870822047111751686d3edc5472

Aliases

arxiv: 1810.11079 · arxiv_version: 1810.11079v1 · doi: 10.48550/arxiv.1810.11079 · pith_short_12: 3IMG5PABHUYK · pith_short_16: 3IMG5PABHUYKCWNV · pith_short_8: 3IMG5PAB

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/3IMG5PABHUYKCWNVEDAZBPCPIL \
  | 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: da186ebc013d30a159b520c190bc4f42fdbd2870822047111751686d3edc5472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fa1ff495970ba0a1bcb28c158e8b87313d645f6695533f59e259e23db1196c",
    "cross_cats_sorted": [
      "math.AG",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2018-10-25T19:34:21Z",
    "title_canon_sha256": "7989e17cfe79ffb9872f70e7c4f8cfb982d1ce7726c554bcfb31130b23550c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11079",
    "kind": "arxiv",
    "version": 1
  }
}