Pith Number

pith:6UYRJPHE

pith:2011:6UYRJPHEXSU2GHBULDRQQMKRFB

not attested not anchored not stored refs pending

Permanental Vectors

Hana Kogan, Michael B. Marcus

arxiv:1107.1144 v1 · 2011-07-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UYRJPHEXSU2GHBULDRQQMKRFB}

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	2026-05-18T04:18:45.485320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f53114bce4bca9a31c3458e3083151287c7900583f1d00afa9e11bddb503bc84

Aliases

arxiv: 1107.1144 · arxiv_version: 1107.1144v1 · doi: 10.48550/arxiv.1107.1144 · pith_short_12: 6UYRJPHEXSU2 · pith_short_16: 6UYRJPHEXSU2GHBU · pith_short_8: 6UYRJPHE

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/6UYRJPHEXSU2GHBULDRQQMKRFB \
  | 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: f53114bce4bca9a31c3458e3083151287c7900583f1d00afa9e11bddb503bc84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d247fddcf6ad7cd16821fb571c440ffbc1ea8aefac4b18c1e5010d60e9173558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-06T14:41:53Z",
    "title_canon_sha256": "fdc99f78f2c475875e5dadf5a6da3b87a5f8c19c592d9b3013b143bff8e1cbb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1144",
    "kind": "arxiv",
    "version": 1
  }
}