Pith Number

pith:HS4DBGHJ

pith:2011:HS4DBGHJK7IDZFHPC5CXDOGUGO

not attested not anchored not stored refs pending

An Exploration of Symmetries in the Friedmann Equation

M. Ibison

arxiv:1106.3783 v1 · 2011-06-19 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HS4DBGHJK7IDZFHPC5CXDOGUGO}

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	2026-05-18T02:01:35.040044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb83098e957d03c94ef174571b8d43384a1e3fbe441fb65970ebd808448a113

Aliases

arxiv: 1106.3783 · arxiv_version: 1106.3783v1 · doi: 10.48550/arxiv.1106.3783 · pith_short_12: HS4DBGHJK7ID · pith_short_16: HS4DBGHJK7IDZFHP · pith_short_8: HS4DBGHJ

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/HS4DBGHJK7IDZFHPC5CXDOGUGO \
  | 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: 3cb83098e957d03c94ef174571b8d43384a1e3fbe441fb65970ebd808448a113

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0a8fc046abdc07bd13fb8dd509ff024040024a05001e4cec32f8da3b3f2afc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-06-19T21:52:19Z",
    "title_canon_sha256": "57d395b320401b555676851a17fb19f67a0f714a6ab1ff70e77334851ad2dfde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3783",
    "kind": "arxiv",
    "version": 1
  }
}