Pith Number

pith:PW4H4HBG

pith:2018:PW4H4HBGDKHENU5ELQBOJJC5PD

not attested not anchored not stored refs pending

A combinatorial approach to scattering diagrams

Nathan Reading

arxiv:1806.05094 v3 · 2018-06-13 · math.CO · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PW4H4HBGDKHENU5ELQBOJJC5PD}

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	2026-05-21T01:04:10.594678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7db87e1c261a8e46d3a45c02e4a45d78da2ef4269f5f3e71f767f35189e6c9e0

Aliases

arxiv: 1806.05094 · arxiv_version: 1806.05094v3 · doi: 10.48550/arxiv.1806.05094 · pith_short_12: PW4H4HBGDKHE · pith_short_16: PW4H4HBGDKHENU5E · pith_short_8: PW4H4HBG

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/PW4H4HBGDKHENU5ELQBOJJC5PD \
  | 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: 7db87e1c261a8e46d3a45c02e4a45d78da2ef4269f5f3e71f767f35189e6c9e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ab1c07805e75ce0d93aeed03f898fedff1a9bd4259cb8fe3777344b3e1a7f7",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-13T14:51:54Z",
    "title_canon_sha256": "11018343848f8a1a1fd8c97b138c6981f4eb79b52f83971e8bc1bc9c12b51400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05094",
    "kind": "arxiv",
    "version": 3
  }
}