Pith Number

pith:X2SFOZ7O

pith:2019:X2SFOZ7OXSLCD72COOIN6HHOAR

not attested not anchored not stored refs pending

Bouncing evolution in a model of loop quantum gravity

Cong Zhang, Haida Li, Jerzy lewandowski, Yongge Ma

arxiv:1904.07046 v2 · 2019-04-15 · 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{X2SFOZ7OXSLCD72COOIN6HHOAR}

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	2026-05-17T23:42:58.289210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea45767eebc9621ff427390df1cee045ea73aec575d465f286f5880d9f1f4c3

Aliases

arxiv: 1904.07046 · arxiv_version: 1904.07046v2 · doi: 10.48550/arxiv.1904.07046 · pith_short_12: X2SFOZ7OXSLC · pith_short_16: X2SFOZ7OXSLCD72C · pith_short_8: X2SFOZ7O

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/X2SFOZ7OXSLCD72COOIN6HHOAR \
  | 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: bea45767eebc9621ff427390df1cee045ea73aec575d465f286f5880d9f1f4c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90b319fdca6b490e453f5731f595079660dd535df995226d2c2e0c6b1c4be3c5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-04-15T13:50:58Z",
    "title_canon_sha256": "60865050c1d99e7d24019d767568ddfa228492718b58b2d81b8c4a24cd5e891c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07046",
    "kind": "arxiv",
    "version": 2
  }
}