Pith Number

pith:JVEUOOYT

pith:2013:JVEUOOYT7H2REHMZ67BBEVY7YQ

not attested not anchored not stored refs pending

The existence of Hall polynomials for posets of finite prinjective type

Justyna Kosakowska

arxiv:1306.6271 v1 · 2013-06-26 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVEUOOYT7H2REHMZ67BBEVY7YQ}

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	2026-05-18T03:19:55.445075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d49473b13f9f5121d99f7c212571fc40f44ec096a72179dd8fec2c27db5c429

Aliases

arxiv: 1306.6271 · arxiv_version: 1306.6271v1 · doi: 10.48550/arxiv.1306.6271 · pith_short_12: JVEUOOYT7H2R · pith_short_16: JVEUOOYT7H2REHMZ · pith_short_8: JVEUOOYT

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/JVEUOOYT7H2REHMZ67BBEVY7YQ \
  | 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: 4d49473b13f9f5121d99f7c212571fc40f44ec096a72179dd8fec2c27db5c429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9909a98cffd762018c3ed771da04e7ac4e323e88c64957c75ce23d7721ae22cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-06-26T15:17:58Z",
    "title_canon_sha256": "7f2871fe3ffb8204a6b865a4689cf037b78c083f33fb76b2a79242d4370dee69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6271",
    "kind": "arxiv",
    "version": 1
  }
}