pith. sign in
Pith Number

pith:XQAT6A6J

pith:2012:XQAT6A6JBBR3OENWVF77BMW3TC
not attested not anchored not stored refs pending

Root polytope and partitions

Rocco Chirivi'

arxiv:1210.8379 v3 · 2012-10-31 · math.CO · math.RT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XQAT6A6JBBR3OENWVF77BMW3TC}

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 2026-05-18T02:48:17.936213Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bc013f03c90863b711b6a97ff0b2db9889678bfb603a0b34b554225eb3bdb28f

Aliases

arxiv: 1210.8379 · arxiv_version: 1210.8379v3 · doi: 10.48550/arxiv.1210.8379 · pith_short_12: XQAT6A6JBBR3 · pith_short_16: XQAT6A6JBBR3OENW · pith_short_8: XQAT6A6J
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XQAT6A6JBBR3OENWVF77BMW3TC \
  | 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: bc013f03c90863b711b6a97ff0b2db9889678bfb603a0b34b554225eb3bdb28f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ed438d9cc6669d53faa1ecb8b3cd7e59a8be0e7c67bacf4a00a76ec439aa4a31",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-31T16:30:28Z",
    "title_canon_sha256": "7cde12720ed697d0fd0a07385f12dd86d4443eeb4dd92a5828588c1440f8ec5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8379",
    "kind": "arxiv",
    "version": 3
  }
}