Pith Number

pith:XWHHRJRP

pith:2015:XWHHRJRPKCORDAD2H66A4DSNLK

not attested not anchored not stored refs pending

Combinatorics of symplectic invariant tensors

Bruce W. Westbury, Martin Rubey

arxiv:1504.02586 v1 · 2015-04-10 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWHHRJRPKCORDAD2H66A4DSNLK}

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	2026-05-18T02:19:07.284648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd8e78a62f509d11807a3fbc0e0e4d5a8f2a9bbcdb5ecca41d153bc9b6577687

Aliases

arxiv: 1504.02586 · arxiv_version: 1504.02586v1 · doi: 10.48550/arxiv.1504.02586 · pith_short_12: XWHHRJRPKCOR · pith_short_16: XWHHRJRPKCORDAD2 · pith_short_8: XWHHRJRP

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/XWHHRJRPKCORDAD2H66A4DSNLK \
  | 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: bd8e78a62f509d11807a3fbc0e0e4d5a8f2a9bbcdb5ecca41d153bc9b6577687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc8ad91f2766d1c85f94e9429523299574bfc78c43ad212a92e68b300a4533c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-10T08:38:48Z",
    "title_canon_sha256": "19743f31e3fae1417c08956bc4b99e4e3eb167f93093fbc2c21cfb6db7a21232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02586",
    "kind": "arxiv",
    "version": 1
  }
}