Pith Number

pith:U5H5ZTN2

pith:2011:U5H5ZTN2534PIUQJSNQKOW2CGG

not attested not anchored not stored refs pending

Geodesically Tracking Quasi-geodesic Paths for Coxeter Groups

Michael L. Mihalik, Steven Tschantz

arxiv:1112.3397 v1 · 2011-12-15 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5H5ZTN2534PIUQJSNQKOW2CGG}

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	2026-05-18T02:57:53.989147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a74fdccdbaeef8f452099360a75b423182ca00ff42bf022c68adf343d8812e06

Aliases

arxiv: 1112.3397 · arxiv_version: 1112.3397v1 · doi: 10.48550/arxiv.1112.3397 · pith_short_12: U5H5ZTN2534P · pith_short_16: U5H5ZTN2534PIUQJ · pith_short_8: U5H5ZTN2

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/U5H5ZTN2534PIUQJSNQKOW2CGG \
  | 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: a74fdccdbaeef8f452099360a75b423182ca00ff42bf022c68adf343d8812e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e660b80a909abe77cc11f5f723f7aa9ab4540df08432ec12a0a75b2ab627e33",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-15T00:19:08Z",
    "title_canon_sha256": "abcc86d967d022efee8fe9be9b7f6f203c219cfea5b880aa17a7632a8f53baee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3397",
    "kind": "arxiv",
    "version": 1
  }
}