Pith Number

pith:4PEWPSJM

pith:2011:4PEWPSJMQVZ7LQIZQDTUCZIPN7

not attested not anchored not stored refs pending

Entropic gravity, minimum temperature, and modified Newtonian dynamics

F.R. Klinkhamer, M. Kopp

arxiv:1104.2022 v6 · 2011-04-11 · 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{4PEWPSJMQVZ7LQIZQDTUCZIPN7}

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	2026-05-18T02:02:35.267588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c967c92c8573f5c11980e741650f6fceddad7c613093a4309152d48d26fc86

Aliases

arxiv: 1104.2022 · arxiv_version: 1104.2022v6 · doi: 10.48550/arxiv.1104.2022 · pith_short_12: 4PEWPSJMQVZ7 · pith_short_16: 4PEWPSJMQVZ7LQIZ · pith_short_8: 4PEWPSJM

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/4PEWPSJMQVZ7LQIZQDTUCZIPN7 \
  | 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: e3c967c92c8573f5c11980e741650f6fceddad7c613093a4309152d48d26fc86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eebd6bd0f40d7b3c5055c222cc096e056b70ed71c27de22b35c695be160cc2bf",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-04-11T18:52:22Z",
    "title_canon_sha256": "56acc0e5dbeeac726a809f18481f0a43235f0a2ddecc21eaad727b6c2f044c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2022",
    "kind": "arxiv",
    "version": 6
  }
}