Pith Number

pith:AMELGA4F

pith:2012:AMELGA4FU5GB3PFH42H3XMBIBJ

not attested not anchored not stored refs pending

Cyclic sieving, rotation, and geometric representation theory

Bruce Fontaine, Joel Kamnitzer

arxiv:1212.1314 v1 · 2012-12-06 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMELGA4FU5GB3PFH42H3XMBIBJ}

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	2026-05-18T03:39:04.282197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0308b30385a74c1dbca7e68fbbb0280a770380bb9e59ed19364f7cb1afde76aa

Aliases

arxiv: 1212.1314 · arxiv_version: 1212.1314v1 · doi: 10.48550/arxiv.1212.1314 · pith_short_12: AMELGA4FU5GB · pith_short_16: AMELGA4FU5GB3PFH · pith_short_8: AMELGA4F

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/AMELGA4FU5GB3PFH42H3XMBIBJ \
  | 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: 0308b30385a74c1dbca7e68fbbb0280a770380bb9e59ed19364f7cb1afde76aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2ef54d2cd71d0699941bb3dc89c78fa57cc534de89fd3dcf3e729b71743e043",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-06T13:00:00Z",
    "title_canon_sha256": "6bf4d5ab083c533afab43165b44d3ab7e36b522090f878d5b8f52e4f392e8d60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1314",
    "kind": "arxiv",
    "version": 1
  }
}