Pith Number

pith:5IKT7MP3

pith:2026:5IKT7MP3MD6IQTJIE5ROVPWLLE

not attested not anchored not stored refs pending

Supersymmetry, differential operators of infinite order and theta functions

Mikhail Kapranov

arxiv:2608.12846 v1 · 2026-08-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IKT7MP3MD6IQTJIE5ROVPWLLE}

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	2026-08-14T00:49:07.455202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea153fb1fb60fc884d282762eabecb5904a14a51396530cb72cf43939e0e966f

Aliases

arxiv: 2608.12846 · arxiv_version: 2608.12846v1 · doi: 10.48550/arxiv.2608.12846 · pith_short_12: 5IKT7MP3MD6I · pith_short_16: 5IKT7MP3MD6IQTJI · pith_short_8: 5IKT7MP3

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/5IKT7MP3MD6IQTJIE5ROVPWLLE \
  | 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: ea153fb1fb60fc884d282762eabecb5904a14a51396530cb72cf43939e0e966f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c1279a1ca8036dd6e3b7793c1675b5abe7afbae0e68235e4ef711f8b06c18d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-13T05:35:09Z",
    "title_canon_sha256": "96ea4f4d86ddb4c26e321b7635c9a19abdc26d99efa59739390bb487d7e4061a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12846",
    "kind": "arxiv",
    "version": 1
  }
}