Pith Number

pith:EBZSNYOB

pith:2026:EBZSNYOBY6XVMUVUB7GZA4G2E5

not attested not anchored not stored refs pending

Double shuffle relations imply the infinitesimal hexagon equation

Muze Ren

arxiv:2607.28163 v1 · 2026-07-30 · 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{EBZSNYOBY6XVMUVUB7GZA4G2E5}

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	2026-07-31T01:36:06.148912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

207326e1c1c7af5652b40fcd9070da2756af97f2fa0decc83598e05f74864a71

Aliases

arxiv: 2607.28163 · arxiv_version: 2607.28163v1 · doi: 10.48550/arxiv.2607.28163 · pith_short_12: EBZSNYOBY6XV · pith_short_16: EBZSNYOBY6XVMUVU · pith_short_8: EBZSNYOB

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/EBZSNYOBY6XVMUVUB7GZA4G2E5 \
  | 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: 207326e1c1c7af5652b40fcd9070da2756af97f2fa0decc83598e05f74864a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504dd35c2e19d78aca2035f83b1565680e3d8e88f1983063669acc564b824e7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-07-30T13:03:56Z",
    "title_canon_sha256": "81193295b66219ba10d9c9886cc60fe0cb62c212c66aefc5a43dbaef6584b94d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28163",
    "kind": "arxiv",
    "version": 1
  }
}