Pith Number

pith:WN2AB4IP

pith:2016:WN2AB4IPQZ2MBYZVJIJFU6CAH6

not attested not anchored not stored refs pending

Equilateral triangles in subsets of ${\Bbb R}^d$ of large Hausdorff dimension

Alex Iosevich, Bochen Liu

arxiv:1603.01907 v1 · 2016-03-07 · math.CA · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WN2AB4IPQZ2MBYZVJIJFU6CAH6}

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	2026-05-18T01:19:33.428014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b37400f10f8674c0e3354a125a78403f95dedd41a3f8036feecfce88e5a01c46

Aliases

arxiv: 1603.01907 · arxiv_version: 1603.01907v1 · doi: 10.48550/arxiv.1603.01907 · pith_short_12: WN2AB4IPQZ2M · pith_short_16: WN2AB4IPQZ2MBYZV · pith_short_8: WN2AB4IP

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/WN2AB4IPQZ2MBYZVJIJFU6CAH6 \
  | 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: b37400f10f8674c0e3354a125a78403f95dedd41a3f8036feecfce88e5a01c46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db7272dece619dc9972d43a08f41e6274bee211f0795da363575c1660ce9178",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-07T01:13:55Z",
    "title_canon_sha256": "98f9326c83e677969fc57adf1fabb6027dccb259ae0a6815a8deed7fb31cf741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01907",
    "kind": "arxiv",
    "version": 1
  }
}