Pith Number

pith:UD3V3K2D

pith:2012:UD3V3K2DI567BHTYZFKA3E7WYS

not attested not anchored not stored refs pending

The compatible Grassmannian

E. Andruchow, E. Chiumiento, M. E. Di Iorio y Lucero

arxiv:1208.6571 v1 · 2012-08-31 · math.FA · 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{UD3V3K2DI567BHTYZFKA3E7WYS}

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	2026-05-18T03:46:32.583513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f75dab43477df09e78c9540d93f6c49d131baea4e380c14ed32e1822cbf058

Aliases

arxiv: 1208.6571 · arxiv_version: 1208.6571v1 · doi: 10.48550/arxiv.1208.6571 · pith_short_12: UD3V3K2DI567 · pith_short_16: UD3V3K2DI567BHTY · pith_short_8: UD3V3K2D

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/UD3V3K2DI567BHTYZFKA3E7WYS \
  | 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: a0f75dab43477df09e78c9540d93f6c49d131baea4e380c14ed32e1822cbf058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b8f3785cf33c3f5b91c6edced27d9daf96246a88acad4df9222043b02c9b05f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-31T18:26:52Z",
    "title_canon_sha256": "8c7bcdbd46eaa49445da1d98c65a170083262d302f575dc6a0ef61d291563acf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6571",
    "kind": "arxiv",
    "version": 1
  }
}