Pith Number

pith:TRNWAP7B

pith:2017:TRNWAP7BJHDCZ3KSHY6HO7WI3N

not attested not anchored not stored refs pending

Double Hodge Theory for a particle on Torus

Bhabani Prasad Mandal, Vipul Kumar Pandey

arxiv:1708.06625 v1 · 2017-08-19 · physics.gen-ph · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRNWAP7BJHDCZ3KSHY6HO7WI3N}

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	2026-05-18T00:16:36.819254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5b603fe149c62ced523e3c777ec8db5fca8821f35a20107309bd2a3d180ff7

Aliases

arxiv: 1708.06625 · arxiv_version: 1708.06625v1 · doi: 10.48550/arxiv.1708.06625 · pith_short_12: TRNWAP7BJHDC · pith_short_16: TRNWAP7BJHDCZ3KS · pith_short_8: TRNWAP7B

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/TRNWAP7BJHDCZ3KSHY6HO7WI3N \
  | 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: 9c5b603fe149c62ced523e3c777ec8db5fca8821f35a20107309bd2a3d180ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b548bb3feecdd557ea044955ddafa72d17313a39bd79bc50d176b281a41d4fa",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2017-08-19T17:00:42Z",
    "title_canon_sha256": "6fe463e21b08b46cadf5312e5ac9092f6a6d8ee959f3809e3e1affa6b0b8d63a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06625",
    "kind": "arxiv",
    "version": 1
  }
}