Pith Number

pith:FYIPCCDG

pith:2010:FYIPCCDGVDQ6X2LPVC26UKVTMZ

not attested not anchored not stored refs pending

Vacuum stability, string density of states and the Riemann zeta function

Carlo Angelantonj, Eliezer Rabinovici, Matteo Cardella, Shmuel Elitzur

arxiv:1012.5091 v2 · 2010-12-22 · hep-th · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYIPCCDGVDQ6X2LPVC26UKVTMZ}

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	2026-05-18T04:27:47.320938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e10f10866a8e1ebe96fa8b5ea2ab36667b68522554f523b1a143aeb934454ab

Aliases

arxiv: 1012.5091 · arxiv_version: 1012.5091v2 · doi: 10.48550/arxiv.1012.5091 · pith_short_12: FYIPCCDGVDQ6 · pith_short_16: FYIPCCDGVDQ6X2LP · pith_short_8: FYIPCCDG

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/FYIPCCDGVDQ6X2LPVC26UKVTMZ \
  | 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: 2e10f10866a8e1ebe96fa8b5ea2ab36667b68522554f523b1a143aeb934454ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80532f615a2caa81ee3fde47ab619c4902a3d768116b8af6f65b20befa19513e",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-22T20:44:01Z",
    "title_canon_sha256": "983012e078312066e8f080005a473803dda4384df07a900e587d885f64e3652b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5091",
    "kind": "arxiv",
    "version": 2
  }
}