Pith Number

pith:PTGLGFJU

pith:2007:PTGLGFJURBT5MKCZP6UQIAKHSP

not attested not anchored not stored refs pending

2-loop Quantum Yang-Mills Condensate as Dark Energy

T.Y. Xia, Y. Zhang

arxiv:0710.0077 v1 · 2007-09-29 · astro-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{PTGLGFJURBT5MKCZP6UQIAKHSP}

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	2026-07-04T15:27:48.595111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cccb315348867d628597fa904014793ed066fd6192728f94fc096924661b2ea

Aliases

arxiv: 0710.0077 · arxiv_version: 0710.0077v1 · doi: 10.48550/arxiv.0710.0077 · pith_short_12: PTGLGFJURBT5 · pith_short_16: PTGLGFJURBT5MKCZ · pith_short_8: PTGLGFJU

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/PTGLGFJURBT5MKCZP6UQIAKHSP \
  | 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: 7cccb315348867d628597fa904014793ed066fd6192728f94fc096924661b2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00c661851a4bafece20d6868d795e5ecfd5a70cc64ea6e609a8d390e75562a3e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-09-29T14:53:43Z",
    "title_canon_sha256": "a2558a39aa6f9ea0091f788edd6ed70d3121cd5bd1416d6ddb72189fc39d348f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0077",
    "kind": "arxiv",
    "version": 1
  }
}