Pith Number

pith:2CYOMKAX

pith:2011:2CYOMKAXKM2HZBOS3C7BSVKB6Q

not attested not anchored not stored refs pending

The geometry of Grassmannian manifolds and Bernstein type theorems for higher codimension

J. Jost, Ling Yang, Y. L. Xin

arxiv:1109.6394 v1 · 2011-09-29 · 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{2CYOMKAXKM2HZBOS3C7BSVKB6Q}

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	2026-05-18T04:12:01.642567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0b0e6281753347c85d2d8be195541f41437c2799d596b42e191ec448555cc29

Aliases

arxiv: 1109.6394 · arxiv_version: 1109.6394v1 · doi: 10.48550/arxiv.1109.6394 · pith_short_12: 2CYOMKAXKM2H · pith_short_16: 2CYOMKAXKM2HZBOS · pith_short_8: 2CYOMKAX

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/2CYOMKAXKM2HZBOS3C7BSVKB6Q \
  | 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: d0b0e6281753347c85d2d8be195541f41437c2799d596b42e191ec448555cc29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7692170ac51ab5740316c3796bfa5426ef570778348d52005c62b7f8dd05f860",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-29T04:25:06Z",
    "title_canon_sha256": "5a7951eb9c5cd9f0f9520877a8efcd5cf508d995e1f815b084fc31a2fea7ce55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6394",
    "kind": "arxiv",
    "version": 1
  }
}