Pith Number

pith:J6ZP4N3W

pith:1996:J6ZP4N3W76YZFH2DULVAWMNUVF

not attested not anchored not stored refs pending

A Phase Space Approach to the Gravitational Arrow of Time

Peter Anninos, Tony Rothman

arxiv:gr-qc/9612063 v1 · 1996-12-21 · 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{J6ZP4N3W76YZFH2DULVAWMNUVF}

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	2026-05-18T04:13:47.622889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb2fe3776ffb1929f43a2ea0b31b4a95c2b33652845dace6393c9263329b235

Aliases

arxiv: gr-qc/9612063 · arxiv_version: gr-qc/9612063v1 · doi: 10.48550/arxiv.gr-qc/9612063 · pith_short_12: J6ZP4N3W76YZ · pith_short_16: J6ZP4N3W76YZFH2D · pith_short_8: J6ZP4N3W

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/J6ZP4N3W76YZFH2DULVAWMNUVF \
  | 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: 4fb2fe3776ffb1929f43a2ea0b31b4a95c2b33652845dace6393c9263329b235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6958fde18bdf5ca9ab3f14959c02049e2a1a401592e00a09a964ebc347f5d6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-12-21T20:23:02Z",
    "title_canon_sha256": "11b6e799e6afd8da0faa430ac6b3800c9b84d0f997cfa31dc5743d3fa52322d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9612063",
    "kind": "arxiv",
    "version": 1
  }
}