Pith Number

pith:AWHDIW2Z

pith:2015:AWHDIW2ZQ5FIH4QAQAAB75PIGM

not attested not anchored not stored refs pending

Exact value of Tammes problem for N=10

Masaharu Tanemura, Teruhisa Sugimoto

arxiv:1509.01768 v2 · 2015-09-06 · 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{AWHDIW2ZQ5FIH4QAQAAB75PIGM}

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	2026-05-18T01:33:15.087303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

058e345b59874a83f20080001ff5e833143a110ba12b872e076596af29005f73

Aliases

arxiv: 1509.01768 · arxiv_version: 1509.01768v2 · doi: 10.48550/arxiv.1509.01768 · pith_short_12: AWHDIW2ZQ5FI · pith_short_16: AWHDIW2ZQ5FIH4QA · pith_short_8: AWHDIW2Z

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/AWHDIW2ZQ5FIH4QAQAAB75PIGM \
  | 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: 058e345b59874a83f20080001ff5e833143a110ba12b872e076596af29005f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edbc506a477ee5d328cf4671c382485ebc5ebbc23f19d46bf7515ef38a87a240",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-06T04:54:15Z",
    "title_canon_sha256": "79b675df65890714343ec46b2f5b71eafd2e830b410b1c47b5eeeb930585253d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01768",
    "kind": "arxiv",
    "version": 2
  }
}