Pith Number

pith:ZTSFLXNI

pith:2015:ZTSFLXNI4LEM5Y7YIXNXKJA7P4

not attested not anchored not stored refs pending

Time-independent Hamiltonian for any linear constant-coefficient evolution equation

Carl M. Bender, Hugh F. Jones, Mariagiovanna Gianfreda, Nima Hassanpour

arxiv:1509.05109 v1 · 2015-09-17 · hep-th · 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{ZTSFLXNI4LEM5Y7YIXNXKJA7P4}

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	2026-05-18T01:32:49.893788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cce455dda8e2c8cee3f845db75241f7f3288b16579c550a573674d79957b536d

Aliases

arxiv: 1509.05109 · arxiv_version: 1509.05109v1 · doi: 10.48550/arxiv.1509.05109 · pith_short_12: ZTSFLXNI4LEM · pith_short_16: ZTSFLXNI4LEM5Y7Y · pith_short_8: ZTSFLXNI

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/ZTSFLXNI4LEM5Y7YIXNXKJA7P4 \
  | 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: cce455dda8e2c8cee3f845db75241f7f3288b16579c550a573674d79957b536d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33761ce9a7cc2466013e616bc37f99f7d61a335cd7c312b687624c78dbe6a10",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-09-17T02:51:03Z",
    "title_canon_sha256": "90a0b813bf32541fda31653d02618e6144228026ea7eb81b7e2d184d6c516286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05109",
    "kind": "arxiv",
    "version": 1
  }
}