Pith Number

pith:QGT3Q6IC

pith:2026:QGT3Q6ICMNWRMGJNIQTV2XWNM3

not attested not anchored not stored refs pending

Vector fields of graphic arrangements and face rings of simplicial posets

Satoshi Murai, Takuro Abe

arxiv:2608.06767 v1 · 2026-08-07 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGT3Q6ICMNWRMGJNIQTV2XWNM3}

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	2026-08-10T01:11:58.391392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a7b87902636d16192d44275d5ecd66f983f8b61cf1f13b4e8c7d1bb3547d37

Aliases

arxiv: 2608.06767 · arxiv_version: 2608.06767v1 · doi: 10.48550/arxiv.2608.06767 · pith_short_12: QGT3Q6ICMNWR · pith_short_16: QGT3Q6ICMNWRMGJN · pith_short_8: QGT3Q6IC

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/QGT3Q6ICMNWRMGJNIQTV2XWNM3 \
  | 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: 81a7b87902636d16192d44275d5ecd66f983f8b61cf1f13b4e8c7d1bb3547d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d16cd2dcc15262aeedfb01789baae8f55430cecafd647198d3bca7ac66a9e4a",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-07T03:41:55Z",
    "title_canon_sha256": "fd197dd82ecbd62e520df46f0a10a009c4201eced4906a2b5044b0c9ea7fb584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06767",
    "kind": "arxiv",
    "version": 1
  }
}