Pith Number

pith:U6L33WSR

pith:2015:U6L33WSR4BCLFQ3UGSCEX22HDE

not attested not anchored not stored refs pending

Viscosity-Induced Crossing of the Phantom Barrier

Iver Brevik

arxiv:1509.03489 v1 · 2015-09-11 · 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{U6L33WSR4BCLFQ3UGSCEX22HDE}

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	2026-05-18T01:33:15.000035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a797bdda51e044b2c37434844beb4719116e341e7417fb7eb8afad1c0f4fde65

Aliases

arxiv: 1509.03489 · arxiv_version: 1509.03489v1 · doi: 10.48550/arxiv.1509.03489 · pith_short_12: U6L33WSR4BCL · pith_short_16: U6L33WSR4BCLFQ3U · pith_short_8: U6L33WSR

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/U6L33WSR4BCLFQ3UGSCEX22HDE \
  | 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: a797bdda51e044b2c37434844beb4719116e341e7417fb7eb8afad1c0f4fde65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a7c4cdcc07c3d3f74f261d3ad11f8332fc2717fa297f866a62c2ae084ebee2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-11T13:05:35Z",
    "title_canon_sha256": "d0b5f3589de7e9ddc6a552d00101ea07e922bd7cf0cd62bc71c64458513974da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03489",
    "kind": "arxiv",
    "version": 1
  }
}