Pith Number

pith:22NWWFAH

pith:2026:22NWWFAHBU7TWACTI5I272FNCP

not attested not anchored not stored refs pending

On the Origin of Toric Diagrams

Diego Rodr\'iguez-G\'omez, Sebasti\'an Franco

arxiv:2607.19460 v1 · 2026-07-21 · 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{22NWWFAHBU7TWACTI5I272FNCP}

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	2026-07-23T00:23:50.878613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d69b6b14070d3f3b00534751afe8ad13c45d878e0d687f7e2c66a4e578d46ce0

Aliases

arxiv: 2607.19460 · arxiv_version: 2607.19460v1 · doi: 10.48550/arxiv.2607.19460 · pith_short_12: 22NWWFAHBU7T · pith_short_16: 22NWWFAHBU7TWACT · pith_short_8: 22NWWFAH

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/22NWWFAHBU7TWACTI5I272FNCP \
  | 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: d69b6b14070d3f3b00534751afe8ad13c45d878e0d687f7e2c66a4e578d46ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03464ac22c539dc7a70209b24be472591831f5e0b899513c4cd66e3d48f42bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-21T18:00:00Z",
    "title_canon_sha256": "b098695c99d55fbdb2fc1b606c651ba78ca190908107b998966d005b95e22b59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19460",
    "kind": "arxiv",
    "version": 1
  }
}