Pith Number

pith:L6AQCAKT

pith:2016:L6AQCAKTFX7IEN4FFQBODBHPSC

not attested not anchored not stored refs pending

Classifications and canonical forms of tensor product expressions in the presence of permutation symmetries

Sihong Shao, Wenjian Liu, Zhendong Li

arxiv:1604.06156 v2 · 2016-04-21 · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6AQCAKTFX7IEN4FFQBODBHPSC}

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	2026-05-17T23:58:08.871021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f810101532dfe8237852c02e184ef90a2797696e674dc45f0ecbf460e591b13

Aliases

arxiv: 1604.06156 · arxiv_version: 1604.06156v2 · doi: 10.48550/arxiv.1604.06156 · pith_short_12: L6AQCAKTFX7I · pith_short_16: L6AQCAKTFX7IEN4F · pith_short_8: L6AQCAKT

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/L6AQCAKTFX7IEN4FFQBODBHPSC \
  | 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: 5f810101532dfe8237852c02e184ef90a2797696e674dc45f0ecbf460e591b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82b31773152218e6b1b0cd9482de6ed55e49bcad4eff4f6e456d8a579c875d19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2016-04-21T01:54:59Z",
    "title_canon_sha256": "0f3460e653eb8fac4f5cf76e07d0f4be6b7aa3ea591b78765759d5071902e34b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06156",
    "kind": "arxiv",
    "version": 2
  }
}