Pith Number

pith:5S7JCTHD

pith:2013:5S7JCTHDQSDJ6QRM4G57VAD3NK

not attested not anchored not stored refs pending

A note on subfactor projections

Samuel J. Taylor

arxiv:1307.1495 v1 · 2013-07-04 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5S7JCTHDQSDJ6QRM4G57VAD3NK}

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	2026-05-18T01:22:25.236402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecbe914ce384869f422ce1bbfa807b6a96f3f3d94d00e04c525a60552bc37f0d

Aliases

arxiv: 1307.1495 · arxiv_version: 1307.1495v1 · doi: 10.48550/arxiv.1307.1495 · pith_short_12: 5S7JCTHDQSDJ · pith_short_16: 5S7JCTHDQSDJ6QRM · pith_short_8: 5S7JCTHD

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/5S7JCTHDQSDJ6QRM4G57VAD3NK \
  | 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: ecbe914ce384869f422ce1bbfa807b6a96f3f3d94d00e04c525a60552bc37f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d40994c0567bbba0163e056360ec0509edefc09184c075b7a4099b492f7a9d8",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-07-04T22:00:36Z",
    "title_canon_sha256": "8713f1e86eb45272c1b5719afb8d87d9f24e99a2a58bb6cb2995a1442f53bfcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1495",
    "kind": "arxiv",
    "version": 1
  }
}