Pith Number

pith:HHGLXB55

pith:2015:HHGLXB55D7SLDTJS5JWL6DODZE

not attested not anchored not stored refs pending

Snowflake universality of Wasserstein spaces

Alexandr Andoni, Assaf Naor, Ofer Neiman

arxiv:1509.08677 v1 · 2015-09-29 · math.MG · 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{HHGLXB55D7SLDTJS5JWL6DODZE}

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	2026-05-18T01:31:47.327165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ccbb87bd1fe4b1cd32ea6cbf0dc3c926513c0c4aa837df7862cb1ea7f9e530

Aliases

arxiv: 1509.08677 · arxiv_version: 1509.08677v1 · doi: 10.48550/arxiv.1509.08677 · pith_short_12: HHGLXB55D7SL · pith_short_16: HHGLXB55D7SLDTJS · pith_short_8: HHGLXB55

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/HHGLXB55D7SLDTJS5JWL6DODZE \
  | 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: 39ccbb87bd1fe4b1cd32ea6cbf0dc3c926513c0c4aa837df7862cb1ea7f9e530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf2f2051e4f00e681c97f418dee8d6b6e60687977266767d033e48ea5c23e83",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-29T10:32:41Z",
    "title_canon_sha256": "ce1a640832d6d46a6fd04451d875890aca7bcef98c2b9a67daf3f8c8704a2dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08677",
    "kind": "arxiv",
    "version": 1
  }
}