Pith Number

pith:DKHZAXW5

pith:2017:DKHZAXW5SU5QSVNZ3PWEA5PQEC

not attested not anchored not stored refs pending

Poincare polynomials of character varieties, Macdonald polynomials and affine Springer fibers

Anton Mellit

arxiv:1710.04513 v1 · 2017-10-12 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKHZAXW5SU5QSVNZ3PWEA5PQEC}

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	2026-05-18T00:33:00.810485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8f905edd953b0955b9dbec4075f020896612d402c91fed61d0c1ba3f7660fe

Aliases

arxiv: 1710.04513 · arxiv_version: 1710.04513v1 · doi: 10.48550/arxiv.1710.04513 · pith_short_12: DKHZAXW5SU5Q · pith_short_16: DKHZAXW5SU5QSVNZ · pith_short_8: DKHZAXW5

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/DKHZAXW5SU5QSVNZ3PWEA5PQEC \
  | 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: 1a8f905edd953b0955b9dbec4075f020896612d402c91fed61d0c1ba3f7660fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7d97bf020a39aa62799747d1d9df21b2a640c835649c581f4f25f7063aaf0f4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-12T13:37:45Z",
    "title_canon_sha256": "de1d40d4caadff456223853c672eeaec46655764db03663c43851f7623d1358d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04513",
    "kind": "arxiv",
    "version": 1
  }
}