Pith Number

pith:WIXCFF2G

pith:2019:WIXCFF2GIXMPMXUKZUHBLBA3UN

not attested not anchored not stored refs pending

On volume functions of special flow polytopes

Takayuki Negishi, Tatsuru Takakura, Yuki Sugiyama

arxiv:1904.05000 v1 · 2019-04-10 · 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{WIXCFF2GIXMPMXUKZUHBLBA3UN}

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	2026-05-17T23:48:54.458815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22e22974645d8f65e8acd0e15841ba35d2adfd0cf3fb7b150c821d22384cb5a

Aliases

arxiv: 1904.05000 · arxiv_version: 1904.05000v1 · doi: 10.48550/arxiv.1904.05000 · pith_short_12: WIXCFF2GIXMP · pith_short_16: WIXCFF2GIXMPMXUK · pith_short_8: WIXCFF2G

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/WIXCFF2GIXMPMXUKZUHBLBA3UN \
  | 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: b22e22974645d8f65e8acd0e15841ba35d2adfd0cf3fb7b150c821d22384cb5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "803fe2230f715f7f0e2bb288a1ed24bcd5d01b7bfeb65340dd4557f2cb9a8f47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-10T04:48:16Z",
    "title_canon_sha256": "4db1c4b9168cb60bc011f6845af5d6291a833b34bc4efcc36cbe8a9202f62612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05000",
    "kind": "arxiv",
    "version": 1
  }
}