Pith Number

pith:GTLLNM55

pith:2010:GTLLNM55HGQLZISB7DFBMZXKGU

not attested not anchored not stored refs pending

Emergent Photons and Gravitons:The Problem of Vacuum Structure

J. D. Bjorken

arxiv:1008.0033 v1 · 2010-07-30 · hep-ph · 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{GTLLNM55HGQLZISB7DFBMZXKGU}

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	2026-05-18T00:37:05.475973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d6b6b3bd39a0bca241f8ca1666ea350cc61a9988ff0f03b0aaffbcb6afcd7d

Aliases

arxiv: 1008.0033 · arxiv_version: 1008.0033v1 · doi: 10.48550/arxiv.1008.0033 · pith_short_12: GTLLNM55HGQL · pith_short_16: GTLLNM55HGQLZISB · pith_short_8: GTLLNM55

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/GTLLNM55HGQLZISB7DFBMZXKGU \
  | 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: 34d6b6b3bd39a0bca241f8ca1666ea350cc61a9988ff0f03b0aaffbcb6afcd7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a09e270459f0e71efe6c78b3ab69fc94e3a9c094c5ffc9e93ecdc2268b99956f",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-07-30T23:32:23Z",
    "title_canon_sha256": "665abc1da3539f2c6bd61c8fefc7bb87ae278279361cff421924e54a41414b01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0033",
    "kind": "arxiv",
    "version": 1
  }
}