Pith Number

pith:Y5G7LLKK

pith:2021:Y5G7LLKKFKKC2Y5RR7LUXHGJ5U

not attested not anchored not stored refs pending

Covariant fracton gauge theory

Pradip Mukherjee, Sk. Moinuddin

arxiv:2109.06636 v5 · 2021-09-13 · physics.gen-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{Y5G7LLKKFKKC2Y5RR7LUXHGJ5U}

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	2026-07-05T04:00:17.820562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c74df5ad4a2a942d63b18fd74b9cc9ed1343ade03895d6649b8ea27965559f38

Aliases

arxiv: 2109.06636 · arxiv_version: 2109.06636v5 · doi: 10.48550/arxiv.2109.06636 · pith_short_12: Y5G7LLKKFKKC · pith_short_16: Y5G7LLKKFKKC2Y5R · pith_short_8: Y5G7LLKK

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/Y5G7LLKKFKKC2Y5RR7LUXHGJ5U \
  | 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: c74df5ad4a2a942d63b18fd74b9cc9ed1343ade03895d6649b8ea27965559f38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbefb65bb64354d7182807fa7c350c194fda221953fe08c65f719caa6e3e910e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2021-09-13T10:15:04Z",
    "title_canon_sha256": "a18ec492c860845258d702421347a5061fab2e9b24ce2cf3ef1ec10cc35eee29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.06636",
    "kind": "arxiv",
    "version": 5
  }
}