Pith Number

pith:NPL2BXV3

pith:2015:NPL2BXV3VWPYRNFSTCJFMCB7BT

not attested not anchored not stored refs pending

Exact solutions of Friedmann equation for supernovae data

Alexander E. Pavlov

arxiv:1511.00226 v1 · 2015-11-01 · 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{NPL2BXV3VWPYRNFSTCJFMCB7BT}

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	2026-05-18T01:28:12.886699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd7a0debbad9f88b4b2989256083f0cfb2d622fee2dde1149d55f54cf906e25

Aliases

arxiv: 1511.00226 · arxiv_version: 1511.00226v1 · doi: 10.48550/arxiv.1511.00226 · pith_short_12: NPL2BXV3VWPY · pith_short_16: NPL2BXV3VWPYRNFS · pith_short_8: NPL2BXV3

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/NPL2BXV3VWPYRNFSTCJFMCB7BT \
  | 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: 6bd7a0debbad9f88b4b2989256083f0cfb2d622fee2dde1149d55f54cf906e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa54913a33ceb885f7923f51c6e5cbe34e06708eda99b6912a01bb82a59cb941",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-01T10:45:24Z",
    "title_canon_sha256": "ead7bc24b0ff5a504bd38676fcd3e7fcdb00951a34cfcbb3c6baa376b6189ef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00226",
    "kind": "arxiv",
    "version": 1
  }
}