Pith Number

pith:J7PI6EM6

pith:2013:J7PI6EM6IG3SLKLEXQ3DR7RLVN

not attested not anchored not stored refs pending

The tridendriform structure of a Magnus expansion

Dominique Manchon, Kurusch Ebrahimi-Fard

arxiv:1306.6439 v2 · 2013-06-27 · math.CO · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7PI6EM6IG3SLKLEXQ3DR7RLVN}

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	2026-05-18T00:35:18.907399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fde8f119e41b725a964bc3638fe2bab6c0aadd2ce40cfba4fb55092e9814f44

Aliases

arxiv: 1306.6439 · arxiv_version: 1306.6439v2 · doi: 10.48550/arxiv.1306.6439 · pith_short_12: J7PI6EM6IG3S · pith_short_16: J7PI6EM6IG3SLKLE · pith_short_8: J7PI6EM6

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/J7PI6EM6IG3SLKLEXQ3DR7RLVN \
  | 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: 4fde8f119e41b725a964bc3638fe2bab6c0aadd2ce40cfba4fb55092e9814f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef0885f0d703e191487a110d3d3099bc8ddda4b67b5b6de229cd8334d636567",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-27T09:02:05Z",
    "title_canon_sha256": "226f2641206f160c0167a5994834953ee89a0046a32c45fef42cad0c86af420f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6439",
    "kind": "arxiv",
    "version": 2
  }
}