Pith Number

pith:MELHNHFH

pith:2016:MELHNHFH2F4RJTC72BCRPIXGTZ

not attested not anchored not stored refs pending

The algebra of Kleene stars of the plane and polylogarithms

G\'erard Duchamp (LIPN), Hoang Ngoc Minh (LIPN), Ngoc Hoang (LIPN)

arxiv:1602.02801 v2 · 2016-02-05 · math.CO · cs.SC · 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{MELHNHFH2F4RJTC72BCRPIXGTZ}

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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	2026-05-18T01:17:30.231854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6116769ca7d17914cc5fd04517a2e69e75fb4c41f0ad75b88b9742e4cc1385a1

Aliases

arxiv: 1602.02801 · arxiv_version: 1602.02801v2 · doi: 10.48550/arxiv.1602.02801 · pith_short_12: MELHNHFH2F4R · pith_short_16: MELHNHFH2F4RJTC7 · pith_short_8: MELHNHFH

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/MELHNHFH2F4RJTC72BCRPIXGTZ \
  | 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: 6116769ca7d17914cc5fd04517a2e69e75fb4c41f0ad75b88b9742e4cc1385a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cff375e6cf5280e829798fb39f5834ae41d870b279b4e9ed17e1d129b37b193",
    "cross_cats_sorted": [
      "cs.SC",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-02-05T20:05:04Z",
    "title_canon_sha256": "6f4963fb5d9c5d2478174afa009369ba695ba6f4de6ec0bec8e23fda797b23b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02801",
    "kind": "arxiv",
    "version": 2
  }
}