Pith Number

pith:SIOS5LF5

pith:2015:SIOS5LF57OI6AD2AH3NJJW3B7S

not attested not anchored not stored refs pending

Dirac operators, shell interactions and discontinuous gauge functions across the boundary

Albert Mas

arxiv:1512.03573 v1 · 2015-12-11 · math-ph · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIOS5LF57OI6AD2AH3NJJW3B7S}

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	2026-05-18T01:24:32.039870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921d2eacbdfb91e00f403eda94db61fca2813369663da0314f8bf2f1d499b303

Aliases

arxiv: 1512.03573 · arxiv_version: 1512.03573v1 · doi: 10.48550/arxiv.1512.03573 · pith_short_12: SIOS5LF57OI6 · pith_short_16: SIOS5LF57OI6AD2A · pith_short_8: SIOS5LF5

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/SIOS5LF57OI6AD2AH3NJJW3B7S \
  | 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: 921d2eacbdfb91e00f403eda94db61fca2813369663da0314f8bf2f1d499b303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f9fb15f94a4192fdf85cfa3981a92f3d651303fd503defe2dd725f02f89be3",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-11T10:09:45Z",
    "title_canon_sha256": "fdcf9b883a2d8f3fc2543af8b87a9e1b5674d7f827e7a57d8341660da459da4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03573",
    "kind": "arxiv",
    "version": 1
  }
}