Pith Number

pith:M3Q4EYCO

pith:2006:M3Q4EYCO6OZBUDUMS42K4XGBS5

not attested not anchored not stored refs pending

A variational approach to the macroscopic electrodynamics of anisotropic hard superconductors

A. Malusa, G. Crasta

arxiv:math/0612597 v1 · 2006-12-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3Q4EYCO6OZBUDUMS42K4XGBS5}

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	2026-05-17T23:39:37.465360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e1c2604ef3b21a0e8c9734ae5cc1976e208a5f829522a98c4aef5e899941fc

Aliases

arxiv: math/0612597 · arxiv_version: math/0612597v1 · doi: 10.48550/arxiv.math/0612597 · pith_short_12: M3Q4EYCO6OZB · pith_short_16: M3Q4EYCO6OZBUDUM · pith_short_8: M3Q4EYCO

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/M3Q4EYCO6OZBUDUMS42K4XGBS5 \
  | 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: 66e1c2604ef3b21a0e8c9734ae5cc1976e208a5f829522a98c4aef5e899941fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6057b45fd711071d89429ed209c4e9d637407bf5cba411c31f83d38f60d03cd9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-12-20T14:43:39Z",
    "title_canon_sha256": "a87f573a38e15006943a127e8315971e644c1b00d26ecb20ab8e7033b26d7be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612597",
    "kind": "arxiv",
    "version": 1
  }
}