Pith Number

pith:GRPIKNJU

pith:2000:GRPIKNJUGOIP3BQWFNJJGKM3T4

not attested not anchored not stored refs pending

Note on Signature Change and Colombeau Theory

Charles Hellaby, George Ellis, Tevian Dray

arxiv:gr-qc/0012047 v1 · 2000-12-13 · 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{GRPIKNJUGOIP3BQWFNJJGKM3T4}

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	2026-05-18T01:39:24.487296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345e8535343390fd86162b5293299b9f3e063d7a91151b4da3f740595d19ad55

Aliases

arxiv: gr-qc/0012047 · arxiv_version: gr-qc/0012047v1 · doi: 10.48550/arxiv.gr-qc/0012047 · pith_short_12: GRPIKNJUGOIP · pith_short_16: GRPIKNJUGOIP3BQW · pith_short_8: GRPIKNJU

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/GRPIKNJUGOIP3BQWFNJJGKM3T4 \
  | 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: 345e8535343390fd86162b5293299b9f3e063d7a91151b4da3f740595d19ad55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75b158441955fee40d01dd96887b725711c9412681d06fe9ba44ea6802a8adb2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-13T21:53:33Z",
    "title_canon_sha256": "9339533ecda594b25e2d3e227b8382bb5d545d72b4c0e5da05f84ed0d1efdd75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012047",
    "kind": "arxiv",
    "version": 1
  }
}