Pith Number

pith:HMP6PLNE

pith:2011:HMP6PLNEKB2FLFU4XZHZDVDQZV

not attested not anchored not stored refs pending

Real-normalized differentials and the elliptic Calogero-Moser system

Igor Krichever, Samuel Grushevsky

arxiv:1108.4211 v2 · 2011-08-21 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMP6PLNEKB2FLFU4XZHZDVDQZV}

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	2026-05-18T00:25:35.308969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b1fe7ada4507455969cbe4f91d470cd566e580ca391fdd386200d036231f2f0

Aliases

arxiv: 1108.4211 · arxiv_version: 1108.4211v2 · doi: 10.48550/arxiv.1108.4211 · pith_short_12: HMP6PLNEKB2F · pith_short_16: HMP6PLNEKB2FLFU4 · pith_short_8: HMP6PLNE

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/HMP6PLNEKB2FLFU4XZHZDVDQZV \
  | 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: 3b1fe7ada4507455969cbe4f91d470cd566e580ca391fdd386200d036231f2f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4d426dfb98788279c45afb6042129e0f63278f599de3641213f84c6edbc023",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-21T20:47:18Z",
    "title_canon_sha256": "df8b0d37e43acf7a8c4861c9dd56b1328e00889b82bf42171b7966be560aa20b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4211",
    "kind": "arxiv",
    "version": 2
  }
}