Pith Number

pith:YZDHUOQA

pith:2025:YZDHUOQALLJVLMMC3NFIQPESA3

not attested not anchored not stored refs pending

Simplex volumes in hyperplane arrangements

Koki Furukawa

arxiv:2512.12757 v3 · 2025-12-14 · 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{YZDHUOQALLJVLMMC3NFIQPESA3}

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	2026-07-22T01:22:17.091038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6467a3a005ad355b182db4a883c9206e29a41c4357c337762c3e03e88d46adc

Aliases

arxiv: 2512.12757 · arxiv_version: 2512.12757v3 · doi: 10.48550/arxiv.2512.12757 · pith_short_12: YZDHUOQALLJV · pith_short_16: YZDHUOQALLJVLMMC · pith_short_8: YZDHUOQA

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/YZDHUOQALLJVLMMC3NFIQPESA3 \
  | 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: c6467a3a005ad355b182db4a883c9206e29a41c4357c337762c3e03e88d46adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222800849d7f94ea6b40213586dc9596aa0a3ccf1e4d8c9ee90f2f06a0f32629",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-14T16:43:49Z",
    "title_canon_sha256": "e7bec926cd40f372e4af2510007a0d36bcedf4e7f5f90d6c13dfe32927850877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.12757",
    "kind": "arxiv",
    "version": 3
  }
}