Pith Number

pith:W2MPMC2G

pith:2015:W2MPMC2GXX63RPR7XT2ISFKEDL

not attested not anchored not stored refs pending

Massive Photon and Dark Energy

Chan-Gyung Park, Phillial Oh, Seyen Kouwn

arxiv:1512.00541 v2 · 2015-12-02 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2MPMC2GXX63RPR7XT2ISFKEDL}

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	2026-05-18T01:15:43.790312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b698f60b46bdfdb8be3fbcf48915441ac1c0a51b92d595ca91befb787466d5bd

Aliases

arxiv: 1512.00541 · arxiv_version: 1512.00541v2 · doi: 10.48550/arxiv.1512.00541 · pith_short_12: W2MPMC2GXX63 · pith_short_16: W2MPMC2GXX63RPR7 · pith_short_8: W2MPMC2G

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/W2MPMC2GXX63RPR7XT2ISFKEDL \
  | 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: b698f60b46bdfdb8be3fbcf48915441ac1c0a51b92d595ca91befb787466d5bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a1c350bb0fb1a21c7403e7a09995a48dde9d73be9908ee08fd66557baa99f2",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-12-02T01:49:29Z",
    "title_canon_sha256": "dea1a94a4280017c50644d25a979cf72c6ab612a37c1c5635a08d43b2048fc97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00541",
    "kind": "arxiv",
    "version": 2
  }
}