Pith Number

pith:DX4NMTL3

pith:2014:DX4NMTL3UGAV5KCLSV2BT3ZOTB

not attested not anchored not stored refs pending

Finite two-distance tight frames

Alexander Barg, Alexei Glazyrin, Kasso Okoudjou, Wei-Hsuan Yu

arxiv:1402.3521 v3 · 2014-02-14 · 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{DX4NMTL3UGAV5KCLSV2BT3ZOTB}

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	2026-05-18T02:26:12.972178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df8d64d7ba1815ea84b957419ef2e98616486e36f37b55c84680c48fd9cef2a

Aliases

arxiv: 1402.3521 · arxiv_version: 1402.3521v3 · doi: 10.48550/arxiv.1402.3521 · pith_short_12: DX4NMTL3UGAV · pith_short_16: DX4NMTL3UGAV5KCL · pith_short_8: DX4NMTL3

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/DX4NMTL3UGAV5KCLSV2BT3ZOTB \
  | 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: 1df8d64d7ba1815ea84b957419ef2e98616486e36f37b55c84680c48fd9cef2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce1c7c62f5677f3a557aefdf89bddcb69a84f11fcb4674e0202a748413e72e68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-14T16:35:06Z",
    "title_canon_sha256": "2457d18a6d921698ca854f2c5dc2ca6246e836644dce1fc81be77c61d33a3641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3521",
    "kind": "arxiv",
    "version": 3
  }
}