Pith Number

pith:DAKU6RQX

pith:2014:DAKU6RQXCOREQPTFBIP7MTT434

not attested not anchored not stored refs pending

Bose-Einstein condensation of photons in the matter-dominated universe

Ze Cheng

arxiv:1412.8579 v1 · 2014-12-30 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAKU6RQXCOREQPTFBIP7MTT434}

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	2026-05-18T02:30:16.967500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18154f461713a2483e650a1ff64e7cdf0a16a74c2b610a5c12ada08c9d483dc6

Aliases

arxiv: 1412.8579 · arxiv_version: 1412.8579v1 · doi: 10.48550/arxiv.1412.8579 · pith_short_12: DAKU6RQXCORE · pith_short_16: DAKU6RQXCOREQPTF · pith_short_8: DAKU6RQX

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/DAKU6RQXCOREQPTFBIP7MTT434 \
  | 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: 18154f461713a2483e650a1ff64e7cdf0a16a74c2b610a5c12ada08c9d483dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4bf63173889230465f00a1ac0b32fd8f8249a6610a2cfeb38d2e890efc5cc37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-12-30T08:18:49Z",
    "title_canon_sha256": "2f4009bd1e6c9bc5b149c6949bd3859d62ffdc00db321ce27020c43b0284d816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8579",
    "kind": "arxiv",
    "version": 1
  }
}