Pith Number

pith:6VHMVDRQ

pith:2016:6VHMVDRQB65LMSPFNEROPD26VI

not attested not anchored not stored refs pending

Vortex ground states for Klein-Gordon-Maxwell-Proca type systems

Alessio Pomponio, Jaros{\l}aw Mederski, Pietro d'Avenia

arxiv:1603.04649 v1 · 2016-03-15 · 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{6VHMVDRQB65LMSPFNEROPD26VI}

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	2026-05-18T00:44:01.422227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54eca8e300fbab649e56922e78f5eaa059e3cbfe42ac91ea3f3a04dc2c7f550

Aliases

arxiv: 1603.04649 · arxiv_version: 1603.04649v1 · doi: 10.48550/arxiv.1603.04649 · pith_short_12: 6VHMVDRQB65L · pith_short_16: 6VHMVDRQB65LMSPF · pith_short_8: 6VHMVDRQ

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/6VHMVDRQB65LMSPFNEROPD26VI \
  | 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: f54eca8e300fbab649e56922e78f5eaa059e3cbfe42ac91ea3f3a04dc2c7f550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3929473fe02cefdbcbc4e8277e7788d5e82bbeab98095526fda82588e95195a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-15T11:57:22Z",
    "title_canon_sha256": "5fe9510602bcb895e6f7affc64fa586e4c3f4a2c04aac2e93a1be95b3344faf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04649",
    "kind": "arxiv",
    "version": 1
  }
}