Pith Number

pith:IAS6S4KA

pith:2026:IAS6S4KAPK6XRMGJDA4WUJBMQE

not attested not anchored not stored refs pending

Mirror Symmetry and Double Signature Change

Charles Hellaby, Tevian Dray

arxiv:2606.21805 v1 · 2026-06-19 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAS6S4KAPK6XRMGJDA4WUJBMQE}

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	2026-06-23T01:13:23.261696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4025e971407abd78b0c918396a242c813335b95d8c97852fec8a96f05d0bc5ff

Aliases

arxiv: 2606.21805 · arxiv_version: 2606.21805v1 · doi: 10.48550/arxiv.2606.21805 · pith_short_12: IAS6S4KAPK6X · pith_short_16: IAS6S4KAPK6XRMGJ · pith_short_8: IAS6S4KA

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/IAS6S4KAPK6XRMGJDA4WUJBMQE \
  | 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: 4025e971407abd78b0c918396a242c813335b95d8c97852fec8a96f05d0bc5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e32030678c081a4e965beee09777db3dd325fcfd560bf7c42a62a7e5f342e0d4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-19T23:56:42Z",
    "title_canon_sha256": "b05af643abdd946c760e8b8e9f4c0c6e00cc14087b3c486896abd983c776e918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21805",
    "kind": "arxiv",
    "version": 1
  }
}