Pith Number

pith:TGLCB54G

pith:2010:TGLCB54GJODZWUJMDGN3JTTRO2

not attested not anchored not stored refs pending

Module Structure on Lie Powers and Natural Coalgebra-Split Sub Hopf Algebras of Tensor Algebras

F. Lei, J. Li, J. Wu

arxiv:1002.0434 v1 · 2010-02-02 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGLCB54GJODZWUJMDGN3JTTRO2}

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	2026-07-04T17:20:46.587764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999620f7864b879b512c199bb4ce7176b2511965b4f516724f99bc9cc71e59a5

Aliases

arxiv: 1002.0434 · arxiv_version: 1002.0434v1 · doi: 10.48550/arxiv.1002.0434 · pith_short_12: TGLCB54GJODZ · pith_short_16: TGLCB54GJODZWUJM · pith_short_8: TGLCB54G

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/TGLCB54GJODZWUJMDGN3JTTRO2 \
  | 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: 999620f7864b879b512c199bb4ce7176b2511965b4f516724f99bc9cc71e59a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b73058996e53bb279224985d0cdfecc56103655bfe8c6f57d75411e22a6f4b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-02-02T09:36:48Z",
    "title_canon_sha256": "d014842023195f71ca836376fb760bbd817f6b038a5519a7efaf9897ccec604e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0434",
    "kind": "arxiv",
    "version": 1
  }
}