Pith Number

pith:WGIFTSQJ

pith:2022:WGIFTSQJYJV4NJBMWQJJBVLPZW

not attested not anchored not stored refs pending

Local permutation stability

Henry Bradford

arxiv:2211.15249 v2 · 2022-11-28 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WGIFTSQJYJV4NJBMWQJJBVLPZW}

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.

Cited by

1 paper in Pith

Characters of surface groups

Receipt and verification

First computed	2026-07-05T09:03:13.839186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b19059ca09c26bc6a42cb41290d56fcda6b4c4ecbe4aaea4c3d36a1806f6989a

Aliases

arxiv: 2211.15249 · arxiv_version: 2211.15249v2 · doi: 10.48550/arxiv.2211.15249 · pith_short_12: WGIFTSQJYJV4 · pith_short_16: WGIFTSQJYJV4NJBM · pith_short_8: WGIFTSQJ

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/WGIFTSQJYJV4NJBMWQJJBVLPZW \
  | 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: b19059ca09c26bc6a42cb41290d56fcda6b4c4ecbe4aaea4c3d36a1806f6989a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87b866d10da40576a6617e7af0e22de93316bc099895c0ef19f1d769e72ce2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-11-28T11:56:37Z",
    "title_canon_sha256": "df6ce0b2ca34ec4933dc50c78227b52c06d6d3dc6a7534eb64bcd9b2e358949b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15249",
    "kind": "arxiv",
    "version": 2
  }
}