Pith Number

pith:KT7F3M3S

pith:2014:KT7F3M3SNUXU24H2TVBZ2XT5QU

not attested not anchored not stored refs pending

On the Role of Symmetries in the Theory of Photonic Crystals

Giuseppe De Nittis, Max Lein

arxiv:1403.5984 v2 · 2014-03-24 · cond-mat.mes-hall · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KT7F3M3SNUXU24H2TVBZ2XT5QU}

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	2026-05-18T02:24:28.723914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54fe5db3726d2f4d70fa9d439d5e7d85176b1df9043bbf36e98785fb322413c8

Aliases

arxiv: 1403.5984 · arxiv_version: 1403.5984v2 · doi: 10.48550/arxiv.1403.5984 · pith_short_12: KT7F3M3SNUXU · pith_short_16: KT7F3M3SNUXU24H2 · pith_short_8: KT7F3M3S

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/KT7F3M3SNUXU24H2TVBZ2XT5QU \
  | 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: 54fe5db3726d2f4d70fa9d439d5e7d85176b1df9043bbf36e98785fb322413c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f025772d3a692bdce47324c0738269646a19736d306faeedc30b111abfbdee5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2014-03-24T14:55:11Z",
    "title_canon_sha256": "e7d21a8ad277b73cba7a9810e606aeb4020a071c0699cbd845a47006a3158ee1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5984",
    "kind": "arxiv",
    "version": 2
  }
}