Pith Number

pith:I7OFZL5P

pith:2016:I7OFZL5PZ63PQF6TLYWU4HLPV2

not attested not anchored not stored refs pending

Coarse medians and Property A

Jan Spakula, Nick Wright

arxiv:1602.06084 v2 · 2016-02-19 · math.MG · 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{I7OFZL5PZ63PQF6TLYWU4HLPV2}

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	2026-05-18T00:20:59.741785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47dc5cafafcfb6f817d35e2d4e1d6fae9ce03073f9c4fc2c1b1f6cae02ddb521

Aliases

arxiv: 1602.06084 · arxiv_version: 1602.06084v2 · doi: 10.48550/arxiv.1602.06084 · pith_short_12: I7OFZL5PZ63P · pith_short_16: I7OFZL5PZ63PQF6T · pith_short_8: I7OFZL5P

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/I7OFZL5PZ63PQF6TLYWU4HLPV2 \
  | 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: 47dc5cafafcfb6f817d35e2d4e1d6fae9ce03073f9c4fc2c1b1f6cae02ddb521

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616148b22e30a667e8e95ecad0f68e0533b6518c9d4c5b5d3e7acc778c0e728c",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-19T09:25:48Z",
    "title_canon_sha256": "6faf0b322e0b81f07f8bb777b298ce00bd1b01e2ca36d0ecd034a121a19377c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06084",
    "kind": "arxiv",
    "version": 2
  }
}