Pith Number

pith:ABL5CU5O

pith:2017:ABL5CU5O63B6AU5SGLDH6TV7LA

not attested not anchored not stored refs pending

Post-Lie algebras and factorization theorems

Hans Munthe-Kaas, Igor Mencattini, Kurusch Ebrahimi-Fard

arxiv:1701.07786 v1 · 2017-01-26 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABL5CU5O63B6AU5SGLDH6TV7LA}

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	2026-05-18T00:44:42.142240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0057d153aef6c3e053b232c67f4ebf58386979180cfdbff4df56d64c3011a64a

Aliases

arxiv: 1701.07786 · arxiv_version: 1701.07786v1 · doi: 10.48550/arxiv.1701.07786 · pith_short_12: ABL5CU5O63B6 · pith_short_16: ABL5CU5O63B6AU5S · pith_short_8: ABL5CU5O

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/ABL5CU5O63B6AU5SGLDH6TV7LA \
  | 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: 0057d153aef6c3e053b232c67f4ebf58386979180cfdbff4df56d64c3011a64a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "743c347518a9928eddd06e445e40a4728edce73be0bbe9e9650aab29ea662055",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-01-26T17:37:01Z",
    "title_canon_sha256": "1f0ea2c7eafcd355febcd65ff9b9d50267c4fedf4df1a8c849e8aa682980d7a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07786",
    "kind": "arxiv",
    "version": 1
  }
}