Pith Number

pith:M6VR3NMT

pith:1997:M6VR3NMTP5NTMCZQ6WXXYCWBXC

not attested not anchored not stored refs pending

Exact Perturbations for inflation with smooth exit

Daniel Tilley (Portsmouth University), Roy Maartens

arxiv:gr-qc/9707033 v2 · 1997-07-15 · 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{M6VR3NMTP5NTMCZQ6WXXYCWBXC}

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	2026-05-18T01:39:18.918085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ab1db5937f5b360b30f5af7c0ac1b8a8759495baafaeb3f3d099e865be013e

Aliases

arxiv: gr-qc/9707033 · arxiv_version: gr-qc/9707033v2 · doi: 10.48550/arxiv.gr-qc/9707033 · pith_short_12: M6VR3NMTP5NT · pith_short_16: M6VR3NMTP5NTMCZQ · pith_short_8: M6VR3NMT

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/M6VR3NMTP5NTMCZQ6WXXYCWBXC \
  | 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: 67ab1db5937f5b360b30f5af7c0ac1b8a8759495baafaeb3f3d099e865be013e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33bb4c83847f0772feb38683a1924c176a35c90d9da9aedeee3e2d7e3a64a6fd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-07-15T12:25:39Z",
    "title_canon_sha256": "f9c1312cf52e2c2e3700777816f4bca2a9a620344c8ae501a764716c3da0e195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9707033",
    "kind": "arxiv",
    "version": 2
  }
}