Pith Number

pith:TAHEFZXR

pith:2010:TAHEFZXRSDURE4C77GVVO4UVJ7

not attested not anchored not stored refs pending

On universal covers for four-dimensional sets of a given diameter

Zsolt Langi

arxiv:1007.2520 v2 · 2010-07-15 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAHEFZXRSDURE4C77GVVO4UVJ7}

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	2026-05-18T03:49:59.987404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

980e42e6f190e912705ff9ab5772954fd1e619b4a7c7829920fd4eac1db29be6

Aliases

arxiv: 1007.2520 · arxiv_version: 1007.2520v2 · doi: 10.48550/arxiv.1007.2520 · pith_short_12: TAHEFZXRSDUR · pith_short_16: TAHEFZXRSDURE4C7 · pith_short_8: TAHEFZXR

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/TAHEFZXRSDURE4C77GVVO4UVJ7 \
  | 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: 980e42e6f190e912705ff9ab5772954fd1e619b4a7c7829920fd4eac1db29be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd425ba0f463c7f04a06f9a804858e53b412541bc0af5d4bd1e8c8ed8f139a4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-07-15T10:02:56Z",
    "title_canon_sha256": "8962fc4d2a8045631814e4eb007a59be8417153c36e3eb9e557499aabbc25d6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2520",
    "kind": "arxiv",
    "version": 2
  }
}