Pith Number

pith:DPC56GYW

pith:2013:DPC56GYWLSXUHIA7RSD35CZRCZ

not attested not anchored not stored refs pending

New bounds for equiangular lines

Alexander Barg, Wei-Hsuan Yu

arxiv:1311.3219 v3 · 2013-11-13 · 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{DPC56GYWLSXUHIA7RSD35CZRCZ}

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	2026-05-18T02:51:08.292413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bc5df1b165caf43a01f8c87be8b31166f82a33950fa60034db82b859d8b91dc

Aliases

arxiv: 1311.3219 · arxiv_version: 1311.3219v3 · doi: 10.48550/arxiv.1311.3219 · pith_short_12: DPC56GYWLSXU · pith_short_16: DPC56GYWLSXUHIA7 · pith_short_8: DPC56GYW

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/DPC56GYWLSXUHIA7RSD35CZRCZ \
  | 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: 1bc5df1b165caf43a01f8c87be8b31166f82a33950fa60034db82b859d8b91dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ac59aa1cc8aaa6afd294da5e875b7ad6ae84e111c746bf4df3f1f942e564eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-11-13T17:16:18Z",
    "title_canon_sha256": "1eeb14050feb66a3a0636ec4c0bb5557a942e00e3f6a72c4410c5a380b7b2333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3219",
    "kind": "arxiv",
    "version": 3
  }
}