Pith Number

pith:OBJAMUY3

pith:2010:OBJAMUY3YL6GQSQPWQUAC2GQJQ

not attested not anchored not stored refs pending

The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint

Eric Canc\`es (CERMICS, Gabriel Stoltz (CERMICS, INRIA Paris - Rocquencourt), Mathieu Lewin (AGM)

arxiv:1010.3494 v1 · 2010-10-18 · math-ph · cond-mat.mtrl-sci · 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{OBJAMUY3YL6GQSQPWQUAC2GQJQ}

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	2026-05-18T04:39:07.755005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

705206531bc2fc684a0fb4280168d04c3bf44135b8465113fbe410a695ceba7e

Aliases

arxiv: 1010.3494 · arxiv_version: 1010.3494v1 · doi: 10.48550/arxiv.1010.3494 · pith_short_12: OBJAMUY3YL6G · pith_short_16: OBJAMUY3YL6GQSQP · pith_short_8: OBJAMUY3

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/OBJAMUY3YL6GQSQPWQUAC2GQJQ \
  | 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: 705206531bc2fc684a0fb4280168d04c3bf44135b8465113fbe410a695ceba7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc7a21915480ad41139d8f679d4e0e7e4336450438c66ac34e4aae1a24ac3441",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-18T06:31:57Z",
    "title_canon_sha256": "dc52a1c596f8d940c034373250f05146caf6e777c7d9ceb1da136e1de6dd2edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3494",
    "kind": "arxiv",
    "version": 1
  }
}