Pith Number

pith:7SWWY2J6

pith:2018:7SWWY2J6ZSFSOJBPL3CSVH6OVR

not attested not anchored not stored refs pending

To\"en's formula and Green's formula

Haicheng Zhang

arxiv:1808.06159 v1 · 2018-08-19 · math.RT · math.QA · 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{7SWWY2J6ZSFSOJBPL3CSVH6OVR}

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	2026-05-18T00:07:45.876815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcad6c693ecc8b27242f5ec52a9fceac51c0afc9a8ffd94ec1d6ad210915a456

Aliases

arxiv: 1808.06159 · arxiv_version: 1808.06159v1 · doi: 10.48550/arxiv.1808.06159 · pith_short_12: 7SWWY2J6ZSFS · pith_short_16: 7SWWY2J6ZSFSOJBP · pith_short_8: 7SWWY2J6

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/7SWWY2J6ZSFSOJBPL3CSVH6OVR \
  | 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: fcad6c693ecc8b27242f5ec52a9fceac51c0afc9a8ffd94ec1d6ad210915a456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b06be206aeb4fbbcbc8d862869b65bf1921cb0a88fd1f709c1167b7290b735",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-08-19T03:44:59Z",
    "title_canon_sha256": "f5f0c9b42d154cc3405673062a4b2454393795daa51699677abb0ee4d335bb23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06159",
    "kind": "arxiv",
    "version": 1
  }
}