Pith Number

pith:QCRX424N

pith:2016:QCRX424NDEWREGOJQ7P5IX7STZ

not attested not anchored not stored refs pending

Structure of Polyzetas and Explicit Representation on Transcendence Bases of Shuffle and Stuffle Algebras

Gerard H. E. Duchamp, Van Chien Bui, Vincel Hoang Ngoc Minh

arxiv:1612.06011 v1 · 2016-12-18 · 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{QCRX424NDEWREGOJQ7P5IX7STZ}

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	2026-05-18T00:54:46.123812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a37e6b8d192d1219c987dfd45ff29e488b579c746e95c3d4524f5abf517363

Aliases

arxiv: 1612.06011 · arxiv_version: 1612.06011v1 · doi: 10.48550/arxiv.1612.06011 · pith_short_12: QCRX424NDEWR · pith_short_16: QCRX424NDEWREGOJ · pith_short_8: QCRX424N

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/QCRX424NDEWREGOJQ7P5IX7STZ \
  | 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: 80a37e6b8d192d1219c987dfd45ff29e488b579c746e95c3d4524f5abf517363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc1585871b232498c78bd7c3b269bcb9e300d1b5a23027c780c2ab650c1cbda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-18T23:55:01Z",
    "title_canon_sha256": "05268fc4e58d41009fc54c4781258c3398926c53d6b11438d885ca7f384aa90a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06011",
    "kind": "arxiv",
    "version": 1
  }
}