Pith Number

pith:NTGJKKKM

pith:2015:NTGJKKKMRPIOU6ZLOKVABODD6Q

not attested not anchored not stored refs pending

From constant to non-degenerately vanishing magnetic fields in superconductivity

Ayman Kachmar, Bernard Helffer

arxiv:1503.08529 v1 · 2015-03-30 · 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{NTGJKKKMRPIOU6ZLOKVABODD6Q}

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	2026-05-18T02:20:01.525923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ccc95294c8bd0ea7b2b72aa00b863f40401a7660a0bdd2595c8622e456dcd35

Aliases

arxiv: 1503.08529 · arxiv_version: 1503.08529v1 · doi: 10.48550/arxiv.1503.08529 · pith_short_12: NTGJKKKMRPIO · pith_short_16: NTGJKKKMRPIOU6ZL · pith_short_8: NTGJKKKM

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/NTGJKKKMRPIOU6ZLOKVABODD6Q \
  | 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: 6ccc95294c8bd0ea7b2b72aa00b863f40401a7660a0bdd2595c8622e456dcd35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93863c00b79e76e3f52f3c946ec328006bf138439d5be738646c7f33bdb9cca6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-30T03:55:59Z",
    "title_canon_sha256": "0e32e76a194118f3fc2a2b83b98588de640e08379f61f0f07966e20a35befc91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08529",
    "kind": "arxiv",
    "version": 1
  }
}