Pith Number

pith:UDNI2LW3

pith:2007:UDNI2LW3MTENJMVKU5KMK2D45Y

not attested not anchored not stored refs pending

On Hadamard matrices at roots of unity

Jean-Marc Schlenker, Teodor Banica

arxiv:0707.4175 v3 · 2007-07-27 · 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{UDNI2LW3MTENJMVKU5KMK2D45Y}

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	2026-05-18T03:35:14.568956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0da8d2edb64c8d4b2aaa754c5687cee2b46ebdd0776c59b5c130b76515512c4

Aliases

arxiv: 0707.4175 · arxiv_version: 0707.4175v3 · doi: 10.48550/arxiv.0707.4175 · pith_short_12: UDNI2LW3MTEN · pith_short_16: UDNI2LW3MTENJMVK · pith_short_8: UDNI2LW3

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/UDNI2LW3MTENJMVKU5KMK2D45Y \
  | 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: a0da8d2edb64c8d4b2aaa754c5687cee2b46ebdd0776c59b5c130b76515512c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc8b44978cd0325d9a7957bbce7bb4866ab71f651c34334834198c4c66bc8ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-07-27T20:05:57Z",
    "title_canon_sha256": "a1cc1cc6cdb685d96ac708e686b97f5fbec5a2207f842d64b919574a50d73989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4175",
    "kind": "arxiv",
    "version": 3
  }
}