Pith Number

pith:QVXTG3L6

pith:2015:QVXTG3L63QAURDJWHCUCZHFQQG

not attested not anchored not stored refs pending

Distortion of embeddings of binary trees into diamond graphs

Mikhail Ostrovskii, Sarah Nelson, Siu Lam Leung, Sofiya Ostrovska

arxiv:1512.06438 v3 · 2015-12-20 · 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{QVXTG3L63QAURDJWHCUCZHFQQG}

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	2026-05-18T00:01:10.804095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

856f336d7edc01488d3638a82c9cb081825f5c5c99cc728cc6c69fdd5b97ab3b

Aliases

arxiv: 1512.06438 · arxiv_version: 1512.06438v3 · doi: 10.48550/arxiv.1512.06438 · pith_short_12: QVXTG3L63QAU · pith_short_16: QVXTG3L63QAURDJW · pith_short_8: QVXTG3L6

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/QVXTG3L63QAURDJWHCUCZHFQQG \
  | 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: 856f336d7edc01488d3638a82c9cb081825f5c5c99cc728cc6c69fdd5b97ab3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98dc1a993c6f04e2e7fcb61cb1a7f6f3741ece2512f765e9b2b073e90907683f",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-12-20T21:40:27Z",
    "title_canon_sha256": "eda382686eab39971d06c6c134d8c350336f4c4aaba335a4a349a8e3e7ac3ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06438",
    "kind": "arxiv",
    "version": 3
  }
}