Pith Number

pith:7JD76KRH

pith:2011:7JD76KRH5FV2DTUYQIS7GIOZKT

not attested not anchored not stored refs pending

Odd H-depth and H-separable extensions

Lars Kadison

arxiv:1110.1227 v2 · 2011-10-06 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JD76KRH5FV2DTUYQIS7GIOZKT}

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	2026-05-18T03:52:38.757000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa47ff2a27e96ba1ce988225f321d954c2b54258cd7d8a16a099454f2f560df8

Aliases

arxiv: 1110.1227 · arxiv_version: 1110.1227v2 · doi: 10.48550/arxiv.1110.1227 · pith_short_12: 7JD76KRH5FV2 · pith_short_16: 7JD76KRH5FV2DTUY · pith_short_8: 7JD76KRH

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/7JD76KRH5FV2DTUYQIS7GIOZKT \
  | 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: fa47ff2a27e96ba1ce988225f321d954c2b54258cd7d8a16a099454f2f560df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "660a2b3522af431201d3c7c3bcbc3c6c96293af2a579f692cc53dd2d8780819d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-10-06T11:27:42Z",
    "title_canon_sha256": "74c7cd73702df6afe0e4de12479bd627036e5283c4f61d741d3a9bd6b51d3495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1227",
    "kind": "arxiv",
    "version": 2
  }
}