Pith Number

pith:RNLCJVOP

pith:2024:RNLCJVOPE5C6GPKIFGSDPDL7GW

not attested not anchored not stored refs pending

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras

Bo Hou, Zhanpeng Cui

arxiv:2412.14605 v1 · 2024-12-19 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RNLCJVOPE5C6GPKIFGSDPDL7GW}

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	2026-07-05T09:51:50.148711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5624d5cf2745e33d4829a4378d7f359999ba6064c79bf25f51a7da75fb379a

Aliases

arxiv: 2412.14605 · arxiv_version: 2412.14605v1 · doi: 10.48550/arxiv.2412.14605 · pith_short_12: RNLCJVOPE5C6 · pith_short_16: RNLCJVOPE5C6GPKI · pith_short_8: RNLCJVOP

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/RNLCJVOPE5C6GPKIFGSDPDL7GW \
  | 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: 8b5624d5cf2745e33d4829a4378d7f359999ba6064c79bf25f51a7da75fb379a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46ed7c594dd481a5300b15b9a1a73826d47b8f5f644e64700a34a4b88eab4f3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-12-19T07:53:24Z",
    "title_canon_sha256": "4695d4f70f2e3c17254807ffe6e943c7153baf62affb0e356bf4b42b957965c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14605",
    "kind": "arxiv",
    "version": 1
  }
}