Pith Number

pith:MTBU5F5E

pith:2010:MTBU5F5EEQ3Q43PCYKUPEVBIX4

not attested not anchored not stored refs pending

Singularities of generalized Richardson varieties

Izzet Coskun, Sara Billey

arxiv:1008.2785 v1 · 2010-08-16 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTBU5F5EEQ3Q43PCYKUPEVBIX4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:42:12.107947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c34e97a424370e6de2c2a8f25428bf217d8b9ea18cbaf34c3e05da0689edf5

Aliases

arxiv: 1008.2785 · arxiv_version: 1008.2785v1 · doi: 10.48550/arxiv.1008.2785 · pith_short_12: MTBU5F5EEQ3Q · pith_short_16: MTBU5F5EEQ3Q43PC · pith_short_8: MTBU5F5E

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/MTBU5F5EEQ3Q43PCYKUPEVBIX4 \
  | 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: 64c34e97a424370e6de2c2a8f25428bf217d8b9ea18cbaf34c3e05da0689edf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "951caa95ef8fde5e4e656cc0b5ff70036e8ee9f91e28fe4e58162b99d61befd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-16T22:47:19Z",
    "title_canon_sha256": "eaf88d6a14469763737fecd330bda2a3e100d8960f8f6ed6a4066750325baedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2785",
    "kind": "arxiv",
    "version": 1
  }
}