Pith Number

pith:4MRPAHPE

pith:2006:4MRPAHPE72K4DGUEGDVOA56Z6R

not attested not anchored not stored refs pending

Fuzzy Toric Geometries

Christian Saemann

arxiv:hep-th/0612173 v2 · 2006-12-18 · 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{4MRPAHPE72K4DGUEGDVOA56Z6R}

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	2026-07-04T15:25:19.764699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e322f01de4fe95c19a8430eae077d9f47fc933d7e9b4eac2135df7709d3ed160

Aliases

arxiv: hep-th/0612173 · arxiv_version: hep-th/0612173v2 · doi: 10.48550/arxiv.hep-th/0612173 · pith_short_12: 4MRPAHPE72K4 · pith_short_16: 4MRPAHPE72K4DGUE · pith_short_8: 4MRPAHPE

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/4MRPAHPE72K4DGUEGDVOA56Z6R \
  | 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: e322f01de4fe95c19a8430eae077d9f47fc933d7e9b4eac2135df7709d3ed160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba75567a80ab4ad4be1276d9d62136cf38fc47c8d0f6a3d87314a929d78b6ba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-18T19:17:52Z",
    "title_canon_sha256": "3036892c2e5245265fc8c76c46f904d735537c43e96394dc6aa605b897411a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612173",
    "kind": "arxiv",
    "version": 2
  }
}