Pith Number

pith:PGD22YA2

pith:2014:PGD22YA2MX2M5MV4WF6M2GY2AL

not attested not anchored not stored refs pending

Coarse median structures and homomorphisms from Kazhdan groups

Rudolf Zeidler

arxiv:1408.1866 v2 · 2014-08-08 · 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{PGD22YA2MX2M5MV4WF6M2GY2AL}

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	2026-05-18T01:15:36.434943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7987ad601a65f4ceb2bcb17ccd1b1a02d683adf075ed6caddb54916fdb44f9c1

Aliases

arxiv: 1408.1866 · arxiv_version: 1408.1866v2 · doi: 10.48550/arxiv.1408.1866 · pith_short_12: PGD22YA2MX2M · pith_short_16: PGD22YA2MX2M5MV4 · pith_short_8: PGD22YA2

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/PGD22YA2MX2M5MV4WF6M2GY2AL \
  | 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: 7987ad601a65f4ceb2bcb17ccd1b1a02d683adf075ed6caddb54916fdb44f9c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fe42540d877cd9f1a9d15590403b5e68ded7cda616d0e86ef0274e51c133dce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-08T14:28:25Z",
    "title_canon_sha256": "5b0b3d85a80a883aa482011c5614fa69993350681fe4ada0e83a54d786be57d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1866",
    "kind": "arxiv",
    "version": 2
  }
}