Pith Number

pith:XM5OW4T5

pith:2019:XM5OW4T54FNXH7OIU6ZPPBA7DA

not attested not anchored not stored refs pending

Twisted bialgebras, cofreeness and cointeraction

Lo\"ic Foissy (LMPA)

arxiv:1905.10199 v2 · 2019-05-24 · 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{XM5OW4T54FNXH7OIU6ZPPBA7DA}

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	2026-07-05T05:38:59.312518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb3aeb727de15b73fdc8a7b2f7841f180ec84bb8034dd86130339cc6f5a797c3

Aliases

arxiv: 1905.10199 · arxiv_version: 1905.10199v2 · doi: 10.48550/arxiv.1905.10199 · pith_short_12: XM5OW4T54FNX · pith_short_16: XM5OW4T54FNXH7OI · pith_short_8: XM5OW4T5

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/XM5OW4T54FNXH7OIU6ZPPBA7DA \
  | 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: bb3aeb727de15b73fdc8a7b2f7841f180ec84bb8034dd86130339cc6f5a797c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb9547b26d6d9bb17535e05321c196d89dae70df17e01e628260278d3f1c078",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-05-24T12:45:17Z",
    "title_canon_sha256": "28050b7c42dcb38778a5c63c9be8f9c331b60518f5f2ac857860b58d59e5b0f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10199",
    "kind": "arxiv",
    "version": 2
  }
}