Pith Number

pith:PGYLY572

pith:2011:PGYLY572ZH24QQG57FMIICS2JY

not attested not anchored not stored refs pending

Arveson dichotomy and essential fractality

Steffen Roch

arxiv:1107.5205 v1 · 2011-07-26 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGYLY572ZH24QQG57FMIICS2JY}

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	2026-05-18T04:16:52.750936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b0bc77fac9f5c840ddf958840a5a4e339b60aa2792152695c6cce72949ab33

Aliases

arxiv: 1107.5205 · arxiv_version: 1107.5205v1 · doi: 10.48550/arxiv.1107.5205 · pith_short_12: PGYLY572ZH24 · pith_short_16: PGYLY572ZH24QQG5 · pith_short_8: PGYLY572

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/PGYLY572ZH24QQG57FMIICS2JY \
  | 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: 79b0bc77fac9f5c840ddf958840a5a4e339b60aa2792152695c6cce72949ab33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fabd36cf0e5dc04a1949a438e8225f7c08c4b473fadfe111723ae9fadb83b446",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-07-26T13:06:46Z",
    "title_canon_sha256": "804207519bed20dac3941f8a3714cf96a3bd34167bf60874403e19ac60414d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5205",
    "kind": "arxiv",
    "version": 1
  }
}