Pith Number

pith:M3PXMUIU

pith:2026:M3PXMUIU3H4PJOABIY36LVKWM4

not attested not anchored not stored refs pending

Dirac branch-cut modes with relativistic transport

Baile Zhang, Bofeng Zhu, Chengzhi Ma, Gui-Geng Liu, Qiang Wang, Qi Jie Wang, Xiuhai Zhang, Y. D. Chong, Zheyu Cheng

arxiv:2603.28127 v3 · 2026-03-30 · physics.optics · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3PXMUIU3H4PJOABIY36LVKWM4}

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	2026-07-03T01:17:19.998264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66df765114d9f8f4b8014637e5d5566735c4a716dea2f759ed5daeff4902fc9e

Aliases

arxiv: 2603.28127 · arxiv_version: 2603.28127v3 · doi: 10.48550/arxiv.2603.28127 · pith_short_12: M3PXMUIU3H4P · pith_short_16: M3PXMUIU3H4PJOAB · pith_short_8: M3PXMUIU

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/M3PXMUIU3H4PJOABIY36LVKWM4 \
  | 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: 66df765114d9f8f4b8014637e5d5566735c4a716dea2f759ed5daeff4902fc9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdfabbef8383df6091867a0b45b00b429a9f3af69ca28542c1dadb122d260212",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-03-30T07:45:17Z",
    "title_canon_sha256": "56a535133bd6a87455161aa684405495e1b47b031887935eda101d20a385373d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.28127",
    "kind": "arxiv",
    "version": 3
  }
}