Pith Number

pith:TJM5YIWH

pith:2015:TJM5YIWH5X2E5MHTMOU56FP2SI

not attested not anchored not stored refs pending

Garside and quadratic normalisation: a survey

Patrick Dehornoy

arxiv:1504.07788 v1 · 2015-04-29 · 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{TJM5YIWH5X2E5MHTMOU56FP2SI}

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	2026-05-18T02:17:32.225252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a59dc22c7edf44eb0f363a9df15fa920e9d5d817eae05b5a946e6b2aae0cc54

Aliases

arxiv: 1504.07788 · arxiv_version: 1504.07788v1 · doi: 10.48550/arxiv.1504.07788 · pith_short_12: TJM5YIWH5X2E · pith_short_16: TJM5YIWH5X2E5MHT · pith_short_8: TJM5YIWH

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/TJM5YIWH5X2E5MHTMOU56FP2SI \
  | 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: 9a59dc22c7edf44eb0f363a9df15fa920e9d5d817eae05b5a946e6b2aae0cc54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d44684a80d1d1e423772029f3e80dd07ec723a7a32389432cc0d663bde63d2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-04-29T09:39:16Z",
    "title_canon_sha256": "d546a9c612821a958c1e70e325752b343acc79e71c2ac29ce2c74acacd4ae534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07788",
    "kind": "arxiv",
    "version": 1
  }
}