Pith Number

pith:EFXCPGST

pith:2015:EFXCPGSTAPRU4ENVLBNS265J4U

not attested not anchored not stored refs pending

Wave equations with non-commutative space and time

Rainer Verch

arxiv:1504.01115 v1 · 2015-04-05 · math-ph · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFXCPGSTAPRU4ENVLBNS265J4U}

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	2026-05-18T02:19:35.126787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

216e279a5303e34e11b5585b2d7ba9e53ff5de261b0bded4c728a8e8ada62cca

Aliases

arxiv: 1504.01115 · arxiv_version: 1504.01115v1 · doi: 10.48550/arxiv.1504.01115 · pith_short_12: EFXCPGSTAPRU · pith_short_16: EFXCPGSTAPRU4ENV · pith_short_8: EFXCPGST

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/EFXCPGSTAPRU4ENVLBNS265J4U \
  | 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: 216e279a5303e34e11b5585b2d7ba9e53ff5de261b0bded4c728a8e8ada62cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5811275f74122498e04fc46e8cc1ec5f045e0dfc40f9f6b7389d212049eeb45e",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-05T12:07:14Z",
    "title_canon_sha256": "73d2da3c806c4f613bc0b5559bee5fdd941b64fc39e70e6ddb1ad2340be08c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01115",
    "kind": "arxiv",
    "version": 1
  }
}