Pith Number

pith:UY2AEKT2

pith:2011:UY2AEKT2WD3VNTG455AZACJPQK

not attested not anchored not stored refs pending

Affine Mirkovi\'c-Vilonen polytopes

Joel Kamnitzer, Peter Tingley, Pierre Baumann

arxiv:1110.3661 v2 · 2011-10-17 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UY2AEKT2WD3VNTG455AZACJPQK}

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	2026-05-18T03:21:31.997130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a634022a7ab0f756ccdcef4190092f8294adeaf80fac3fe92facd5ff8f141fe9

Aliases

arxiv: 1110.3661 · arxiv_version: 1110.3661v2 · doi: 10.48550/arxiv.1110.3661 · pith_short_12: UY2AEKT2WD3V · pith_short_16: UY2AEKT2WD3VNTG4 · pith_short_8: UY2AEKT2

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/UY2AEKT2WD3VNTG455AZACJPQK \
  | 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: a634022a7ab0f756ccdcef4190092f8294adeaf80fac3fe92facd5ff8f141fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c47ef7557fd49f5a209f5ad8296abf207ab920e38c0e41ee8cbd230374fb1b",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-17T13:22:13Z",
    "title_canon_sha256": "2efb12704b40f9f89eaa2d37a5d92d0eea35704f66e057726f33df39b4e42000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3661",
    "kind": "arxiv",
    "version": 2
  }
}