Pith Number

pith:TI6XEIGW

pith:2026:TI6XEIGWD5OVRXV6GIPSB6UNP6

not attested not anchored not stored refs pending

Dispersive estimates of Dirac equations with a domain wall

Amir Sagiv, Joseph Kraisler, M. Burak Erdogan

arxiv:2607.22879 v1 · 2026-07-24 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TI6XEIGWD5OVRXV6GIPSB6UNP6}

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	2026-07-28T00:21:59.877178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3d7220d61f5d58debe321f20fa8d7f8627708b114e665db5e019ab0a472d80

Aliases

arxiv: 2607.22879 · arxiv_version: 2607.22879v1 · doi: 10.48550/arxiv.2607.22879 · pith_short_12: TI6XEIGWD5OV · pith_short_16: TI6XEIGWD5OVRXV6 · pith_short_8: TI6XEIGW

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/TI6XEIGWD5OVRXV6GIPSB6UNP6 \
  | 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: 9a3d7220d61f5d58debe321f20fa8d7f8627708b114e665db5e019ab0a472d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba84b24c515637e68dd7c45f201590dc46ac3e00645273f2ea46347f9cdcfa31",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-24T19:45:51Z",
    "title_canon_sha256": "8e3e76f8d998f2c206cd557e88382c978b6006c757d8c1948707e4be65d0e7c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22879",
    "kind": "arxiv",
    "version": 1
  }
}