Pith Number

pith:6EJLZIK4

pith:2012:6EJLZIK425GSTP2XIGWVX2UFY2

not attested not anchored not stored refs pending

Tight p-fusion frames

Christine Bachoc, Martin Ehler

arxiv:1201.1798 v2 · 2012-01-09 · math.NA · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EJLZIK425GSTP2XIGWVX2UFY2}

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	2026-05-18T03:44:47.318061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f112bca15cd74d29bf5741ad5bea85c69fceaaf37ea8689b7700f83f7b2ff27c

Aliases

arxiv: 1201.1798 · arxiv_version: 1201.1798v2 · doi: 10.48550/arxiv.1201.1798 · pith_short_12: 6EJLZIK425GS · pith_short_16: 6EJLZIK425GSTP2X · pith_short_8: 6EJLZIK4

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/6EJLZIK425GSTP2XIGWVX2UFY2 \
  | 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: f112bca15cd74d29bf5741ad5bea85c69fceaaf37ea8689b7700f83f7b2ff27c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe89f51889afe3eebd2ec220743dcec0aa3d76c43de50dc39e7a1bab15519a1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-01-09T15:25:16Z",
    "title_canon_sha256": "30b774ee06650e61cecdaa532770909767a9671a5c81dcb80dc36bf344156e5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1798",
    "kind": "arxiv",
    "version": 2
  }
}