Pith Number

pith:AOZZ454H

pith:2014:AOZZ454HDVZC5RJKTIRLJO2BZX

not attested not anchored not stored refs pending

Discrete Uncertainty Principles and Virial Identities

Aingeru Fern\'andez-Bertolin

arxiv:1402.5016 v2 · 2014-02-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOZZ454HDVZC5RJKTIRLJO2BZX}

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	2026-05-18T02:38:46.143848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b39e77871d722ec52a9a22b4bb41cdfb1c2872cc52ac61ff5ed3b970c9e143

Aliases

arxiv: 1402.5016 · arxiv_version: 1402.5016v2 · doi: 10.48550/arxiv.1402.5016 · pith_short_12: AOZZ454HDVZC · pith_short_16: AOZZ454HDVZC5RJK · pith_short_8: AOZZ454H

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/AOZZ454HDVZC5RJKTIRLJO2BZX \
  | 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: 03b39e77871d722ec52a9a22b4bb41cdfb1c2872cc52ac61ff5ed3b970c9e143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "816543b39178c3b906d571ecd8698d1ceb788307d14711dc1afd0376026c5d9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-20T14:49:40Z",
    "title_canon_sha256": "9c365d1fabfa08627d16332a26ae6db47162ff8623c80b104a25d9b237c0e22e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5016",
    "kind": "arxiv",
    "version": 2
  }
}