Pith Number

pith:UHY5MCEB

pith:2016:UHY5MCEBVWV44AYBHIXFJRCERQ

not attested not anchored not stored refs pending

Global Gauge Symmetries, Risk-Free Portfolios, and the Risk-Free Rate

Martin Gremm

arxiv:1605.03551 v1 · 2016-05-11 · q-fin.GN · q-fin.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHY5MCEBVWV44AYBHIXFJRCERQ}

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	2026-05-18T01:15:01.140225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f1d60881adabce03013a2e54c4448c35f6b8a78556e7cd36a9883be7abfef8

Aliases

arxiv: 1605.03551 · arxiv_version: 1605.03551v1 · doi: 10.48550/arxiv.1605.03551 · pith_short_12: UHY5MCEBVWV4 · pith_short_16: UHY5MCEBVWV44AYB · pith_short_8: UHY5MCEB

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/UHY5MCEBVWV44AYBHIXFJRCERQ \
  | 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: a1f1d60881adabce03013a2e54c4448c35f6b8a78556e7cd36a9883be7abfef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "027b04f1337c390e434db61badb1ec361a848735597314880534a3d89a5da522",
    "cross_cats_sorted": [
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2016-05-11T19:04:27Z",
    "title_canon_sha256": "bc06ab6f2dcf26700f027fe28d672de99fca1121ee1985e3c0b34bd37062c7e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03551",
    "kind": "arxiv",
    "version": 1
  }
}