Pith Number

pith:AOYWXQZF

pith:2013:AOYWXQZFCD7E4XEMN7JSLQYQ6Z

not attested not anchored not stored refs pending

The asymptotic enhanced negative type of finite ultrametric spaces

Anthony Weston, Ian Doust, Stephen S\'anchez

arxiv:1308.1185 v3 · 2013-08-06 · math.MG · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOYWXQZFCD7E4XEMN7JSLQYQ6Z}

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	2026-05-18T02:29:15.947485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b16bc32510fe4e5c8c6fd325c310f65ae03cb02df6a9aa16e63215a6484241

Aliases

arxiv: 1308.1185 · arxiv_version: 1308.1185v3 · doi: 10.48550/arxiv.1308.1185 · pith_short_12: AOYWXQZFCD7E · pith_short_16: AOYWXQZFCD7E4XEM · pith_short_8: AOYWXQZF

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/AOYWXQZFCD7E4XEMN7JSLQYQ6Z \
  | 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: 03b16bc32510fe4e5c8c6fd325c310f65ae03cb02df6a9aa16e63215a6484241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad895799bbf868e66fa1face1cdbf0bf7b79da4c71db85deba7154c4369a1cd3",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-08-06T05:52:53Z",
    "title_canon_sha256": "62b704d6c533ee2c45dda3c8b1399807cb5086b5f532b3aac57061b8066baf2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1185",
    "kind": "arxiv",
    "version": 3
  }
}