Pith Number

pith:3NMKJ4NL

pith:2026:3NMKJ4NL2FUB64CPRLPETZHWC6

not attested not anchored not stored refs pending

Elliptic orbifold lines and integrable hierarchies

Todor MIlanov

arxiv:2606.08909 v1 · 2026-06-08 · 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{3NMKJ4NL2FUB64CPRLPETZHWC6}

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	2026-06-09T02:07:46.712141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db58a4f1abd1681f704f8ade49e4f61785efd57ebaf37542fb296422a186f507

Aliases

arxiv: 2606.08909 · arxiv_version: 2606.08909v1 · doi: 10.48550/arxiv.2606.08909 · pith_short_12: 3NMKJ4NL2FUB · pith_short_16: 3NMKJ4NL2FUB64CP · pith_short_8: 3NMKJ4NL

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/3NMKJ4NL2FUB64CPRLPETZHWC6 \
  | 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: db58a4f1abd1681f704f8ade49e4f61785efd57ebaf37542fb296422a186f507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbb4178a3a89f6f907b0a4baa78b6941ee32a2398b07fef34dea07001f11824b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-08T01:21:53Z",
    "title_canon_sha256": "31ae75aa6c8395673d5652d2190d8d3f5d46eab763030b5250284ddec5208a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08909",
    "kind": "arxiv",
    "version": 1
  }
}