Pith Number

pith:ASDTFTNX

pith:2013:ASDTFTNXPQMMHYRDHKQT7XI2RG

not attested not anchored not stored refs pending

Parity sheaves on the affine Grassmannian and the Mirkovi\'c-Vilonen conjecture

Laura Rider, Pramod N. Achar

arxiv:1305.1684 v4 · 2013-05-08 · 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{ASDTFTNXPQMMHYRDHKQT7XI2RG}

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	2026-05-18T01:32:43.968801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

048732cdb77c18c3e2233aa13fdd1a899ea947682fce65a3ca2267f3a647a538

Aliases

arxiv: 1305.1684 · arxiv_version: 1305.1684v4 · doi: 10.48550/arxiv.1305.1684 · pith_short_12: ASDTFTNXPQMM · pith_short_16: ASDTFTNXPQMMHYRD · pith_short_8: ASDTFTNX

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/ASDTFTNXPQMMHYRDHKQT7XI2RG \
  | 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: 048732cdb77c18c3e2233aa13fdd1a899ea947682fce65a3ca2267f3a647a538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e155417d3495fb818b0958c4cf196609c232e6f2384a34713aa182e990cdf4ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-05-08T00:07:34Z",
    "title_canon_sha256": "eaab1895aa579d67fb3e915d42635acb72b0ea8d177061ce6a2ca01546ff4dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1684",
    "kind": "arxiv",
    "version": 4
  }
}