Pith Number

pith:CSNWO63D

pith:2022:CSNWO63DJNW746JNIJMV6HPPTS

not attested not anchored not stored refs pending

Differential Expansion for antiparallel triple pretzels: the way the factorization is deformed

A. Morozov, N. Tselousov

arxiv:2205.12238 v1 · 2022-05-24 · hep-th · math-ph · math.GT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSNWO63DJNW746JNIJMV6HPPTS}

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	2026-07-05T07:08:03.644769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149b677b634b6dfe792d42595f1def9c90a172325bae9606a0ddb0b2fe38f96d

Aliases

arxiv: 2205.12238 · arxiv_version: 2205.12238v1 · doi: 10.48550/arxiv.2205.12238 · pith_short_12: CSNWO63DJNW7 · pith_short_16: CSNWO63DJNW746JN · pith_short_8: CSNWO63D

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/CSNWO63DJNW746JNIJMV6HPPTS \
  | 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: 149b677b634b6dfe792d42595f1def9c90a172325bae9606a0ddb0b2fe38f96d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da3c44963e49bc8e85b6023501d84986c8ceafffc73b2869909538a81fd566f",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-05-24T17:47:20Z",
    "title_canon_sha256": "8cd6c9771bddb36da6a844529ee4a6cc56e04703f9c9f2cf9314165da0643537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.12238",
    "kind": "arxiv",
    "version": 1
  }
}