Pith Number

pith:LJCLKZBL

pith:2015:LJCLKZBLPS6XGCG76BE5VANRC4

not attested not anchored not stored refs pending

A note on invariant temporal functions

Olaf M\"uller

arxiv:1502.02716 v4 · 2015-02-09 · math-ph · 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{LJCLKZBLPS6XGCG76BE5VANRC4}

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	2026-05-18T01:11:00.244047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a44b5642b7cbd7308dff049da81b1170987897939a3eb2fc1b42e26eaa7a395

Aliases

arxiv: 1502.02716 · arxiv_version: 1502.02716v4 · doi: 10.48550/arxiv.1502.02716 · pith_short_12: LJCLKZBLPS6X · pith_short_16: LJCLKZBLPS6XGCG7 · pith_short_8: LJCLKZBL

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/LJCLKZBLPS6XGCG76BE5VANRC4 \
  | 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: 5a44b5642b7cbd7308dff049da81b1170987897939a3eb2fc1b42e26eaa7a395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451f6b40000e66448d0314e3bb0785368317d28827e2a03a16fef299a8efbb9b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-09T22:38:29Z",
    "title_canon_sha256": "6bac6df1646640feb8e31dbbd49d1c461a5b18829ac2997eadcfa9268624735f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02716",
    "kind": "arxiv",
    "version": 4
  }
}