Pith Number

pith:DIBFVS3E

pith:2016:DIBFVS3EYAVV35VYD5J5XMDE5Z

not attested not anchored not stored refs pending

The density of superconductivity in the bulk regime

Ayman Kachmar, Bernard Helffer

arxiv:1609.08877 v2 · 2016-09-28 · 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{DIBFVS3EYAVV35VYD5J5XMDE5Z}

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	2026-05-18T00:01:10.708809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a025acb64c02b5df6b81f53dbb064ee424f5b7ba62963183deb1473b99c6509

Aliases

arxiv: 1609.08877 · arxiv_version: 1609.08877v2 · doi: 10.48550/arxiv.1609.08877 · pith_short_12: DIBFVS3EYAVV · pith_short_16: DIBFVS3EYAVV35VY · pith_short_8: DIBFVS3E

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/DIBFVS3EYAVV35VYD5J5XMDE5Z \
  | 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: 1a025acb64c02b5df6b81f53dbb064ee424f5b7ba62963183deb1473b99c6509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c3b631b1c0af751a8a95719f154449afded0faf477345e6681f3ce7c83ccbab",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-28T12:08:59Z",
    "title_canon_sha256": "5cee7b5700305fc3517352bb503027f59f33603ff5b5613f49630fc63bec9248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08877",
    "kind": "arxiv",
    "version": 2
  }
}