Pith Number

pith:FZWY7S3Q

pith:2000:FZWY7S3QHRVGZA5KZMVRPFVOUG

not attested not anchored not stored refs pending

On the short-distance structure of irrational non-commutative gauge theories

B. Pioline (Harvard, E. Rabinovici (Jerusalem), LPTHE), S. Elitzur (Jerusalem)

arxiv:hep-th/0009009 v1 · 2000-09-01 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZWY7S3QHRVGZA5KZMVRPFVOUG}

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	2026-05-18T02:36:12.857392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e6d8fcb703c6a6c83aacb2b1796aea1ae49ebfbce5f073e5510d59e9b2e41af

Aliases

arxiv: hep-th/0009009 · arxiv_version: hep-th/0009009v1 · doi: 10.48550/arxiv.hep-th/0009009 · pith_short_12: FZWY7S3QHRVG · pith_short_16: FZWY7S3QHRVGZA5K · pith_short_8: FZWY7S3Q

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/FZWY7S3QHRVGZA5KZMVRPFVOUG \
  | 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: 2e6d8fcb703c6a6c83aacb2b1796aea1ae49ebfbce5f073e5510d59e9b2e41af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd2d5d5ec457b581d535e8a4e4de4c16c1f1152a090b271eaf93d33ea4dc201b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-09-01T15:48:58Z",
    "title_canon_sha256": "2c1e1fbb2032d73617fb13bb362f567bc4d484b53258ad6841067d0a1e0abd65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0009009",
    "kind": "arxiv",
    "version": 1
  }
}