Pith Number

pith:4A75OHZF

pith:2011:4A75OHZFDYYTGX5BCO4BGRW77M

not attested not anchored not stored refs pending

Dehornoy-like left orderings and isolated left orderings

Tetsuya Ito

arxiv:1102.4669 v1 · 2011-02-23 · 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{4A75OHZFDYYTGX5BCO4BGRW77M}

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	2026-05-18T02:50:10.880666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03fd71f251e31335fa113b81346dffb24deac0174b7477bf0681da5739ae0fc

Aliases

arxiv: 1102.4669 · arxiv_version: 1102.4669v1 · doi: 10.48550/arxiv.1102.4669 · pith_short_12: 4A75OHZFDYYT · pith_short_16: 4A75OHZFDYYTGX5B · pith_short_8: 4A75OHZF

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/4A75OHZFDYYTGX5BCO4BGRW77M \
  | 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: e03fd71f251e31335fa113b81346dffb24deac0174b7477bf0681da5739ae0fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7926b27038e755b86a7e9f1b476d24e56e63113ce7a969f4a068c81dbee2a580",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-23T06:27:06Z",
    "title_canon_sha256": "af0f33e1defddb0ae7189a22b44f29b70cba5852036f679acd67340ac8295532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4669",
    "kind": "arxiv",
    "version": 1
  }
}