Pith Number

pith:DIOZE6D3

pith:2012:DIOZE6D3HDNX5BXNNFW3X42J27

not attested not anchored not stored refs pending

Schubert varieties as variations of Hodge structure

C. Robles

arxiv:1208.5453 v3 · 2012-08-27 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIOZE6D3HDNX5BXNNFW3X42J27}

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	2026-05-18T03:42:23.621615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1d92787b38db7e86ed696dbbf349d7d6b43c4b727b0f37b6d7858f759c9552

Aliases

arxiv: 1208.5453 · arxiv_version: 1208.5453v3 · doi: 10.48550/arxiv.1208.5453 · pith_short_12: DIOZE6D3HDNX · pith_short_16: DIOZE6D3HDNX5BXN · pith_short_8: DIOZE6D3

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/DIOZE6D3HDNX5BXNNFW3X42J27 \
  | 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: 1a1d92787b38db7e86ed696dbbf349d7d6b43c4b727b0f37b6d7858f759c9552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f9366f6cdbfaac8cbf9a9f8e0a4603193f3dd56e5446de1b2523df92f9f87b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-27T17:35:06Z",
    "title_canon_sha256": "bfef734c154800fb6ae752c0beaced626eeb7587140bd56b32f9ac76abecac27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5453",
    "kind": "arxiv",
    "version": 3
  }
}