Pith Number

pith:JTEHOIVH

pith:2012:JTEHOIVHGJ4NBFE3K2IA5QVBYK

not attested not anchored not stored refs pending

Singularities of Richardson varieties

Alexander Woo, Alexander Yong, Allen Knutson

arxiv:1209.4146 v1 · 2012-09-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTEHOIVHGJ4NBFE3K2IA5QVBYK}

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	2026-05-18T03:04:15.607742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc87722a73278d0949b56900ec2a1c29a4ca5dfbe5a190a2787aaf574959b6a

Aliases

arxiv: 1209.4146 · arxiv_version: 1209.4146v1 · doi: 10.48550/arxiv.1209.4146 · pith_short_12: JTEHOIVHGJ4N · pith_short_16: JTEHOIVHGJ4NBFE3 · pith_short_8: JTEHOIVH

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/JTEHOIVHGJ4NBFE3K2IA5QVBYK \
  | 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: 4cc87722a73278d0949b56900ec2a1c29a4ca5dfbe5a190a2787aaf574959b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b917032ed89e50818272b36c6d136c144da4b414bf4ee7c852d792907482fe1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-19T04:03:42Z",
    "title_canon_sha256": "91d76831011e99e7f3e5b25ffa908a0124b41b0cb8c1bb13564987c14fca602e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4146",
    "kind": "arxiv",
    "version": 1
  }
}