Pith Number

pith:EMDE37V2

pith:2011:EMDE37V2XDQKG4DVGLWCWUQ3IE

not attested not anchored not stored refs pending

Crystal Frameworks, Matrix-valued Functions and Rigidity Operators

S. C. Power

arxiv:1111.2943 v1 · 2011-11-12 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMDE37V2XDQKG4DVGLWCWUQ3IE}

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	2026-05-18T04:08:23.431564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23064dfebab8e0a3707532ec2b521b410e434e502ea330d18d201e350a67ce61

Aliases

arxiv: 1111.2943 · arxiv_version: 1111.2943v1 · doi: 10.48550/arxiv.1111.2943 · pith_short_12: EMDE37V2XDQK · pith_short_16: EMDE37V2XDQKG4DV · pith_short_8: EMDE37V2

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/EMDE37V2XDQKG4DVGLWCWUQ3IE \
  | 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: 23064dfebab8e0a3707532ec2b521b410e434e502ea330d18d201e350a67ce61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3933b3330905a2e74d55c9012b7c00dbfaf627f8fbafce454573156350fcc6fe",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-11-12T17:22:12Z",
    "title_canon_sha256": "3b9d67e054b0c72a785f5f93692304c8239ee79883256b66b67e16dfc32f86d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2943",
    "kind": "arxiv",
    "version": 1
  }
}