Pith Number

pith:VMWJ5OLL

pith:2026:VMWJ5OLLEWNYCEQ3AEUXPGMB7Y

not attested not anchored not stored refs pending

Euclidean E-models

Ctirad Klimcik

arxiv:2603.21355 v2 · 2026-03-22 · 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{VMWJ5OLLEWNYCEQ3AEUXPGMB7Y}

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	2026-05-20T00:03:09.022258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2c9eb96b259b81121b0129779981fe25590399eaca068b72c27ef02bfa9da4

Aliases

arxiv: 2603.21355 · arxiv_version: 2603.21355v2 · doi: 10.48550/arxiv.2603.21355 · pith_short_12: VMWJ5OLLEWNY · pith_short_16: VMWJ5OLLEWNYCEQ3 · pith_short_8: VMWJ5OLL

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/VMWJ5OLLEWNYCEQ3AEUXPGMB7Y \
  | 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: ab2c9eb96b259b81121b0129779981fe25590399eaca068b72c27ef02bfa9da4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a79671d6f62fc47f2172d4bc93e94d0b5bba393f4ab03e49410c344969c34def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-03-22T18:30:40Z",
    "title_canon_sha256": "99f26f90901b3d4d311e921a8206a6584a17f88d6538e2d3835cf037779359a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.21355",
    "kind": "arxiv",
    "version": 2
  }
}