Pith Number

pith:FZP7MGX3

pith:2013:FZP7MGX352VWJ2VKQCVNWZI3PF

not attested not anchored not stored refs pending

Modeling dark energy through an Ising fluid with network interactions

Damiano Tommasini, Orlando Luongo

arxiv:1304.3829 v1 · 2013-04-13 · hep-th · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZP7MGX352VWJ2VKQCVNWZI3PF}

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	2026-05-18T01:50:33.180528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e5ff61afbeeab64eaaa80aadb651b7970954c09db7765fe24e73127931eec16

Aliases

arxiv: 1304.3829 · arxiv_version: 1304.3829v1 · doi: 10.48550/arxiv.1304.3829 · pith_short_12: FZP7MGX352VW · pith_short_16: FZP7MGX352VWJ2VK · pith_short_8: FZP7MGX3

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/FZP7MGX352VWJ2VKQCVNWZI3PF \
  | 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: 2e5ff61afbeeab64eaaa80aadb651b7970954c09db7765fe24e73127931eec16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11c7628d62bfdd1fafccaedd3d63d2dfee293c54c1f49e179e7fb2805535e86",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-13T18:13:22Z",
    "title_canon_sha256": "0b389fbab03c6b21aed400a81f2dd14a4dc76ff999820518b8675355b17cf782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3829",
    "kind": "arxiv",
    "version": 1
  }
}