Pith Number

pith:BULNS6BY

pith:2005:BULNS6BYNYJJSVMFHZGOV3MRDC

not attested not anchored not stored refs pending

Dynamics of $k$-essence

Alan D. Rendall

arxiv:gr-qc/0511158 v1 · 2005-11-29 · 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{BULNS6BYNYJJSVMFHZGOV3MRDC}

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	2026-07-04T16:55:20.717583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d16d978386e129955853e4ceaed9118aa443e61fd9681bc4647f66512371209

Aliases

arxiv: gr-qc/0511158 · arxiv_version: gr-qc/0511158v1 · doi: 10.48550/arxiv.gr-qc/0511158 · pith_short_12: BULNS6BYNYJJ · pith_short_16: BULNS6BYNYJJSVMF · pith_short_8: BULNS6BY

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/BULNS6BYNYJJSVMFHZGOV3MRDC \
  | 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: 0d16d978386e129955853e4ceaed9118aa443e61fd9681bc4647f66512371209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c39407de1e6db3f1ed504bf1471f793137f1876c587c5ffc3e664b2c8e735f67",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-11-29T12:06:00Z",
    "title_canon_sha256": "9ce588da24a7cb1ba55670107003947fcca0ed26b2b3662e3a5a39d855c92362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0511158",
    "kind": "arxiv",
    "version": 1
  }
}