Pith Number

pith:HCX6FJAL

pith:2019:HCX6FJALI4C63RLXQYCIIUNPJS

not attested not anchored not stored refs pending

Tor-pairs: products and approximations

Manuel Cort\'es Izurdiaga

arxiv:1907.07547 v1 · 2019-07-17 · 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{HCX6FJALI4C63RLXQYCIIUNPJS}

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	2026-05-17T23:40:21.791263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38afe2a40b4705edc57786048451af4c9aecbc694bd1a8d4d95f78d9c57bc4b8

Aliases

arxiv: 1907.07547 · arxiv_version: 1907.07547v1 · doi: 10.48550/arxiv.1907.07547 · pith_short_12: HCX6FJALI4C6 · pith_short_16: HCX6FJALI4C63RLX · pith_short_8: HCX6FJAL

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/HCX6FJALI4C63RLXQYCIIUNPJS \
  | 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: 38afe2a40b4705edc57786048451af4c9aecbc694bd1a8d4d95f78d9c57bc4b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac4ef52969d218fa3be35076006476fc9513619444aac9c55f8a58c612c5f6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-07-17T14:36:26Z",
    "title_canon_sha256": "7796ae617c611a8f6feb144ac76d1d15814e11483bdcbc0b2434de5105d2235c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07547",
    "kind": "arxiv",
    "version": 1
  }
}