Pith Number

pith:K7G6QL7H

pith:1999:K7G6QL7H5PW3O3TAC75ZKG55NG

not attested not anchored not stored refs pending

Some Possible Roles for Topos Theory in Quantum Theory and Quantum Gravity

C.J. Isham, J.Butterfield

arxiv:gr-qc/9910005 v1 · 1999-10-02 · gr-qc · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7G6QL7H5PW3O3TAC75ZKG55NG}

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	2026-05-18T04:23:55.425356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57cde82fe7ebedb76e6017fb951bbd69a6f19fc2c6c2e7e4177efd9b35b049c8

Aliases

arxiv: gr-qc/9910005 · arxiv_version: gr-qc/9910005v1 · doi: 10.48550/arxiv.gr-qc/9910005 · pith_short_12: K7G6QL7H5PW3 · pith_short_16: K7G6QL7H5PW3O3TA · pith_short_8: K7G6QL7H

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/K7G6QL7H5PW3O3TAC75ZKG55NG \
  | 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: 57cde82fe7ebedb76e6017fb951bbd69a6f19fc2c6c2e7e4177efd9b35b049c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d875fe214ab59d49143b2322e35f0aa1f6f5632c3ea10b76924498da112e5270",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-02T13:39:57Z",
    "title_canon_sha256": "c54c923c2d2945a059b623be03d6f11225d61976403293c65f87332c9a75e0c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910005",
    "kind": "arxiv",
    "version": 1
  }
}