Pith Number

pith:72VRKP7U

pith:2026:72VRKP7UT42PVAMZLLL34KHA3B

not attested not anchored not stored refs pending

Singular geometry and eigenframe topology in local rank-2 tensor observables

A. Krawczuk, B. Doerschel, D. C. Lupascu, H. C. Hofsaess, I. C. J. Yap, J. H. Schell, P. M. Scott, S. Q. Jin, T. T. Dang

arxiv:2607.26008 v1 · 2026-07-28 · 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{72VRKP7UT42PVAMZLLL34KHA3B}

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	2026-07-29T01:26:19.458699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feab153ff49f34fa81995ad7be28e0d85c0692383722581fe84c51dfb4e92920

Aliases

arxiv: 2607.26008 · arxiv_version: 2607.26008v1 · doi: 10.48550/arxiv.2607.26008 · pith_short_12: 72VRKP7UT42P · pith_short_16: 72VRKP7UT42PVAMZ · pith_short_8: 72VRKP7U

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/72VRKP7UT42PVAMZLLL34KHA3B \
  | 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: feab153ff49f34fa81995ad7be28e0d85c0692383722581fe84c51dfb4e92920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d8e851bdde95a2851d8b5d7042382718c89e3fb8e4c452131c96222bf1bf2c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-07-28T17:22:29Z",
    "title_canon_sha256": "e633a57d5e42e072c51c36d759e1cd6fd22a888d1f81165fffde6153c89e2d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26008",
    "kind": "arxiv",
    "version": 1
  }
}