Pith Number

pith:WW3KA6OA

pith:2018:WW3KA6OA3JZNXJIBIEEPHF3IRZ

not attested not anchored not stored refs pending

The permanent functions of tensors

Fuzhen Zhang, Qing-Wen Wang

arxiv:1806.00002 v1 · 2018-05-30 · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW3KA6OA3JZNXJIBIEEPHF3IRZ}

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	2026-05-18T00:14:29.711154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b6a079c0da72dba5014108f397688e43416992ff65e97e936f03791b26a03b

Aliases

arxiv: 1806.00002 · arxiv_version: 1806.00002v1 · doi: 10.48550/arxiv.1806.00002 · pith_short_12: WW3KA6OA3JZN · pith_short_16: WW3KA6OA3JZNXJIB · pith_short_8: WW3KA6OA

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/WW3KA6OA3JZNXJIBIEEPHF3IRZ \
  | 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: b5b6a079c0da72dba5014108f397688e43416992ff65e97e936f03791b26a03b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae363cca9ca9c3b188c217ce60b4dcd0bbf9a35bd963dd5e58067f51ff08786e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-30T19:58:37Z",
    "title_canon_sha256": "e187b969e7729804247ddbdff179f3a0178d527757369e7622229fcf5018b220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.00002",
    "kind": "arxiv",
    "version": 1
  }
}