Pith Number

pith:BMIRAREO

pith:2011:BMIRAREOMJJGIWFPLM24CCZPHM

not attested not anchored not stored refs pending

Stasheff polytopes and the coordinate ring of the cluster X-variety of type A_n

Linhui Shen

arxiv:1104.3528 v2 · 2011-04-18 · 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{BMIRAREOMJJGIWFPLM24CCZPHM}

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	2026-05-18T01:27:55.133110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b1110448e62526458af5b35c10b2f3b18b9de5da7c08c6eac264ad11aaf872c

Aliases

arxiv: 1104.3528 · arxiv_version: 1104.3528v2 · doi: 10.48550/arxiv.1104.3528 · pith_short_12: BMIRAREOMJJG · pith_short_16: BMIRAREOMJJGIWFP · pith_short_8: BMIRAREO

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/BMIRAREOMJJGIWFPLM24CCZPHM \
  | 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: 0b1110448e62526458af5b35c10b2f3b18b9de5da7c08c6eac264ad11aaf872c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e9be13bcafcef7dd75b5cede2ee3e91ca7d68a8cfe5a7ac92343bc8b8da36c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-18T15:56:22Z",
    "title_canon_sha256": "d2a7b2fffb9702d3c9b84f06054c4e1f8637a30a0a9a91d86471e60b01377f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3528",
    "kind": "arxiv",
    "version": 2
  }
}