Pith Number

pith:TIS6ZMNZ

pith:2004:TIS6ZMNZ3KRPEFMEYUF6KU6F4F

not attested not anchored not stored refs pending

Rigidity of singular Schubert varieties in Gr(m,n)

Jaehyun Hong

arxiv:math/0410196 v1 · 2004-10-07 · 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{TIS6ZMNZ3KRPEFMEYUF6KU6F4F}

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	2026-07-04T14:48:23.350566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a25ecb1b9daa2f21584c50be553c5e17a0ff61e264a020193413acda2048ebd

Aliases

arxiv: math/0410196 · arxiv_version: math/0410196v1 · doi: 10.48550/arxiv.math/0410196 · pith_short_12: TIS6ZMNZ3KRP · pith_short_16: TIS6ZMNZ3KRPEFME · pith_short_8: TIS6ZMNZ

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/TIS6ZMNZ3KRPEFMEYUF6KU6F4F \
  | 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: 9a25ecb1b9daa2f21584c50be553c5e17a0ff61e264a020193413acda2048ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4a4efb3955d68d0c0ec7fe65eef0209eb5d9b880a2f860373dde85f69bcca0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-10-07T12:53:50Z",
    "title_canon_sha256": "c6a75f7f46eadacce603bb4adc591a98462c6da126b4fc07426f67bb85f05c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410196",
    "kind": "arxiv",
    "version": 1
  }
}