Pith Number

pith:64TJDKQ6

pith:2025:64TJDKQ66MBBOU5HEUQJTIAPF4

not attested not anchored not stored refs pending

Higher Form and Higher Group Symmetries via Mirror Symmetry

Jiahua Tian, Xin Wang

arxiv:2503.09967 v4 · 2025-03-13 · 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{64TJDKQ66MBBOU5HEUQJTIAPF4}

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	2026-07-05T11:26:26.896620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72691aa1ef3021753a7252099a00f2f2b244c6558eb98e77538829d02043a3c

Aliases

arxiv: 2503.09967 · arxiv_version: 2503.09967v4 · doi: 10.48550/arxiv.2503.09967 · pith_short_12: 64TJDKQ66MBB · pith_short_16: 64TJDKQ66MBBOU5H · pith_short_8: 64TJDKQ6

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/64TJDKQ66MBBOU5HEUQJTIAPF4 \
  | 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: f72691aa1ef3021753a7252099a00f2f2b244c6558eb98e77538829d02043a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b541b6829b0c976bdbc0563ce99ef25b6f866cb57667c0fd15df34ce406f026",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-03-13T02:14:04Z",
    "title_canon_sha256": "dbf2fb9e912148dd617dedf176056e4e2b48357c21ef50659cee76a5a087e967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.09967",
    "kind": "arxiv",
    "version": 4
  }
}