Pith Number

pith:HJNGMNHZ

pith:2001:HJNGMNHZ4BQLMN3KYAGSXO5I5Y

not attested not anchored not stored refs pending

Self-existing objects and auto-generated information in chronology-violating space-times: A philosophical discussion

Diego F. Torres, Gustavo E. Romero

arxiv:gr-qc/0106048 v1 · 2001-06-14 · 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{HJNGMNHZ4BQLMN3KYAGSXO5I5Y}

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	2026-07-04T16:26:55.172815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5a6634f9e060b6376ac00d2bbba8ee1402fa48aefe2d1b1419567a656e25f5

Aliases

arxiv: gr-qc/0106048 · arxiv_version: gr-qc/0106048v1 · doi: 10.48550/arxiv.gr-qc/0106048 · pith_short_12: HJNGMNHZ4BQL · pith_short_16: HJNGMNHZ4BQLMN3K · pith_short_8: HJNGMNHZ

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/HJNGMNHZ4BQLMN3KYAGSXO5I5Y \
  | 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: 3a5a6634f9e060b6376ac00d2bbba8ee1402fa48aefe2d1b1419567a656e25f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f315644d2bdd1acc29405cd077d68a1aec1de7147c45331b67d19a38c7ab4680",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-06-14T13:47:17Z",
    "title_canon_sha256": "14068a0ab46452355a21ed5d46ea4569237b428b62d9dd3fb67d8b0b78b3fb00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0106048",
    "kind": "arxiv",
    "version": 1
  }
}