Pith Number

pith:BILRATYD

pith:2011:BILRATYDTF2DVISWU24X6K6FFH

not attested not anchored not stored refs pending

Toric degenerations of integrable systems on Grassmannians and polygon spaces

Kazushi Ueda, Yuichi Nohara

arxiv:1111.4809 v2 · 2011-11-21 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BILRATYDTF2DVISWU24X6K6FFH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

Spherical singularities in compactified Ruijsenaars--Schneider systems

Receipt and verification

First computed	2026-05-17T23:41:31.635370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a17104f0399743aa256a6b97f2bc529d4cc4d141b7af045a3f2699308efbf23

Aliases

arxiv: 1111.4809 · arxiv_version: 1111.4809v2 · doi: 10.48550/arxiv.1111.4809 · pith_short_12: BILRATYDTF2D · pith_short_16: BILRATYDTF2DVISW · pith_short_8: BILRATYD

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/BILRATYDTF2DVISWU24X6K6FFH \
  | 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: 0a17104f0399743aa256a6b97f2bc529d4cc4d141b7af045a3f2699308efbf23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e864d5d930a19ee3fb783db2caa849fd51b8166694d5e48448ca0219148b374",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-11-21T10:09:27Z",
    "title_canon_sha256": "513963c55f5de2c4129ef87d9c367bf222a76d19a44a0df03ea4621d16c7f318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4809",
    "kind": "arxiv",
    "version": 2
  }
}