Pith Number

pith:VX5OOP2W

pith:2010:VX5OOP2WQVJA33ZYQFBW3ROLOG

not attested not anchored not stored refs pending

Generalizing Tanisaki's ideal via ideals of truncated symmetric functions

Aba Mbirika, Julianna Tymoczko

arxiv:1012.1630 v3 · 2010-12-07 · math.CO · 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{VX5OOP2WQVJA33ZYQFBW3ROLOG}

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	2026-05-18T01:23:21.134991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adfae73f5685520def3881436dc5cb719713d1b6025106bb2c564f581f3a1be1

Aliases

arxiv: 1012.1630 · arxiv_version: 1012.1630v3 · doi: 10.48550/arxiv.1012.1630 · pith_short_12: VX5OOP2WQVJA · pith_short_16: VX5OOP2WQVJA33ZY · pith_short_8: VX5OOP2W

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/VX5OOP2WQVJA33ZYQFBW3ROLOG \
  | 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: adfae73f5685520def3881436dc5cb719713d1b6025106bb2c564f581f3a1be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9304bc26c824dbb5911a72cb7ff798130edb57a988ba5115abf59aff7a5db845",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-07T22:14:34Z",
    "title_canon_sha256": "bc73c08ebb782b49d871124b922072743de6451729eac47e69695923167d02a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1630",
    "kind": "arxiv",
    "version": 3
  }
}