Pith Number

pith:4ET44X3O

pith:2004:4ET44X3OSDQX6N7JY5YPCI74TR

not attested not anchored not stored refs pending

Another proof of theorems of De Concini and Procesi

Mitsuyasu Hashimoto

arxiv:math/0408429 v1 · 2004-08-31 · math.AC · 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{4ET44X3OSDQX6N7JY5YPCI74TR}

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	2026-05-18T04:34:28.228094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e127ce5f6e90e17f37e9c770f123fc9c5267dc5809858a928f3c39ded99828d3

Aliases

arxiv: math/0408429 · arxiv_version: math/0408429v1 · doi: 10.48550/arxiv.math/0408429 · pith_short_12: 4ET44X3OSDQX · pith_short_16: 4ET44X3OSDQX6N7J · pith_short_8: 4ET44X3O

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/4ET44X3OSDQX6N7JY5YPCI74TR \
  | 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: e127ce5f6e90e17f37e9c770f123fc9c5267dc5809858a928f3c39ded99828d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbeb4b45ca677594df9866081c00e1f240a1228c2d13474e83ac5dfa1c2e7bf4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2004-08-31T10:11:45Z",
    "title_canon_sha256": "7eec8e3fcbbda6d2d5f26e40ee1e0c9bddb25c7a815be3332c82888aa44bfb29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408429",
    "kind": "arxiv",
    "version": 1
  }
}