Pith Number

pith:TZJ67F45

pith:2010:TZJ67F45S75UVTRKRUEBEA5ZLN

not attested not anchored not stored refs pending

Inversion arrangements and Bruhat intervals

Axel Hultman

arxiv:1010.0515 v1 · 2010-10-04 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZJ67F45S75UVTRKRUEBEA5ZLN}

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	2026-05-18T04:39:51.895696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e53ef979d97fb4ace2a8d081203b95b7571d6a7ef37ae1981e28536b6dd7ada

Aliases

arxiv: 1010.0515 · arxiv_version: 1010.0515v1 · doi: 10.48550/arxiv.1010.0515 · pith_short_12: TZJ67F45S75U · pith_short_16: TZJ67F45S75UVTRK · pith_short_8: TZJ67F45

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/TZJ67F45S75UVTRKRUEBEA5ZLN \
  | 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: 9e53ef979d97fb4ace2a8d081203b95b7571d6a7ef37ae1981e28536b6dd7ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "280fc4186615a187dc3c9562aad3bc896560991102ec7d376b5471db5221f5a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-04T09:26:38Z",
    "title_canon_sha256": "902f408f9d2be967bbb5f67fc7e4bc335e8c8323b8abdd58ee552062910072c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0515",
    "kind": "arxiv",
    "version": 1
  }
}